Rigid reflections and Kac-Moody algebras

Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Lee, Kyu-Hwan [verfasserIn] Lee, Kyungyong [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Coxeter groups rigid reflections rigid roots non-self-crossing curves Kac-Moody algebras

Übergeordnetes Werk:	Enthalten in: Science in China - Asheville, NC : Science in China Press, 1995, 62(2019), 7 vom: 23. Apr., Seite 1317-1330
Übergeordnetes Werk:	volume:62 ; year:2019 ; number:7 ; day:23 ; month:04 ; pages:1317-1330

Links:	Volltext

DOI / URN:	10.1007/s11425-018-9530-4

Katalog-ID:	SPR019148011

Internformat


LEADER	01000caa a22002652 4500
001	SPR019148011
003	DE-627
005	20220111064911.0
007	cr uuu---uuuuu
008	201006s2019 xx \|\|\|\|\|o 00\| \|\|eng c
024	7		\|a 10.1007/s11425-018-9530-4 \|2 doi
035			\|a (DE-627)SPR019148011
035			\|a (SPR)s11425-018-9530-4-e
040			\|a DE-627 \|b ger \|c DE-627 \|e rakwb
041			\|a eng
082	0	4	\|a 510 \|a 530 \|a 520 \|q ASE
084			\|a 30.00 \|2 bkl
084			\|a 31.00 \|2 bkl
100	1		\|a Lee, Kyu-Hwan \|e verfasserin \|4 aut
245	1	0	\|a Rigid reflections and Kac-Moody algebras
264		1	\|c 2019
336			\|a Text \|b txt \|2 rdacontent
337			\|a Computermedien \|b c \|2 rdamedia
338			\|a Online-Ressource \|b cr \|2 rdacarrier
520			\|a Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter groups, we show that there is a surjective map from the set of reduced positive roots of a rank 2 Kac-Moody algebra onto the set of rigid reflections. We conjecture that this map is bijective.
650		4	\|a Coxeter groups \|7 (dpeaa)DE-He213
650		4	\|a rigid reflections \|7 (dpeaa)DE-He213
650		4	\|a rigid roots \|7 (dpeaa)DE-He213
650		4	\|a non-self-crossing curves \|7 (dpeaa)DE-He213
650		4	\|a Kac-Moody algebras \|7 (dpeaa)DE-He213
700	1		\|a Lee, Kyungyong \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Science in China \|d Asheville, NC : Science in China Press, 1995 \|g 62(2019), 7 vom: 23. Apr., Seite 1317-1330 \|w (DE-627)325695059 \|w (DE-600)2038800-7 \|x 1862-2763 \|7 nnns
773	1	8	\|g volume:62 \|g year:2019 \|g number:7 \|g day:23 \|g month:04 \|g pages:1317-1330
856	4	0	\|u https://dx.doi.org/10.1007/s11425-018-9530-4 \|z lizenzpflichtig \|3 Volltext
912			\|a GBV_USEFLAG_A
912			\|a SYSFLAG_A
912			\|a GBV_SPRINGER
912			\|a SSG-OPC-MAT
912			\|a SSG-OPC-AST
912			\|a SSG-OPC-ASE
912			\|a GBV_ILN_20
912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_224
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_702
936	b	k	\|a 30.00 \|q ASE
936	b	k	\|a 31.00 \|q ASE
951			\|a AR
952			\|d 62 \|j 2019 \|e 7 \|b 23 \|c 04 \|h 1317-1330

Indexfelder

author_variant	k h l khl k l kl
matchkey_str	article:18622763:2019----::iirfetosnkco
hierarchy_sort_str	2019
bklnumber	30.00 31.00
publishDate	2019
allfields	10.1007/s11425-018-9530-4 doi (DE-627)SPR019148011 (SPR)s11425-018-9530-4-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Lee, Kyu-Hwan verfasserin aut Rigid reflections and Kac-Moody algebras 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter groups, we show that there is a surjective map from the set of reduced positive roots of a rank 2 Kac-Moody algebra onto the set of rigid reflections. We conjecture that this map is bijective. Coxeter groups (dpeaa)DE-He213 rigid reflections (dpeaa)DE-He213 rigid roots (dpeaa)DE-He213 non-self-crossing curves (dpeaa)DE-He213 Kac-Moody algebras (dpeaa)DE-He213 Lee, Kyungyong verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 62(2019), 7 vom: 23. Apr., Seite 1317-1330 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:62 year:2019 number:7 day:23 month:04 pages:1317-1330 https://dx.doi.org/10.1007/s11425-018-9530-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 62 2019 7 23 04 1317-1330
spelling	10.1007/s11425-018-9530-4 doi (DE-627)SPR019148011 (SPR)s11425-018-9530-4-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Lee, Kyu-Hwan verfasserin aut Rigid reflections and Kac-Moody algebras 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter groups, we show that there is a surjective map from the set of reduced positive roots of a rank 2 Kac-Moody algebra onto the set of rigid reflections. We conjecture that this map is bijective. Coxeter groups (dpeaa)DE-He213 rigid reflections (dpeaa)DE-He213 rigid roots (dpeaa)DE-He213 non-self-crossing curves (dpeaa)DE-He213 Kac-Moody algebras (dpeaa)DE-He213 Lee, Kyungyong verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 62(2019), 7 vom: 23. Apr., Seite 1317-1330 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:62 year:2019 number:7 day:23 month:04 pages:1317-1330 https://dx.doi.org/10.1007/s11425-018-9530-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 62 2019 7 23 04 1317-1330
allfields_unstemmed	10.1007/s11425-018-9530-4 doi (DE-627)SPR019148011 (SPR)s11425-018-9530-4-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Lee, Kyu-Hwan verfasserin aut Rigid reflections and Kac-Moody algebras 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter groups, we show that there is a surjective map from the set of reduced positive roots of a rank 2 Kac-Moody algebra onto the set of rigid reflections. We conjecture that this map is bijective. Coxeter groups (dpeaa)DE-He213 rigid reflections (dpeaa)DE-He213 rigid roots (dpeaa)DE-He213 non-self-crossing curves (dpeaa)DE-He213 Kac-Moody algebras (dpeaa)DE-He213 Lee, Kyungyong verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 62(2019), 7 vom: 23. Apr., Seite 1317-1330 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:62 year:2019 number:7 day:23 month:04 pages:1317-1330 https://dx.doi.org/10.1007/s11425-018-9530-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 62 2019 7 23 04 1317-1330
allfieldsGer	10.1007/s11425-018-9530-4 doi (DE-627)SPR019148011 (SPR)s11425-018-9530-4-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Lee, Kyu-Hwan verfasserin aut Rigid reflections and Kac-Moody algebras 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter groups, we show that there is a surjective map from the set of reduced positive roots of a rank 2 Kac-Moody algebra onto the set of rigid reflections. We conjecture that this map is bijective. Coxeter groups (dpeaa)DE-He213 rigid reflections (dpeaa)DE-He213 rigid roots (dpeaa)DE-He213 non-self-crossing curves (dpeaa)DE-He213 Kac-Moody algebras (dpeaa)DE-He213 Lee, Kyungyong verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 62(2019), 7 vom: 23. Apr., Seite 1317-1330 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:62 year:2019 number:7 day:23 month:04 pages:1317-1330 https://dx.doi.org/10.1007/s11425-018-9530-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 62 2019 7 23 04 1317-1330
allfieldsSound	10.1007/s11425-018-9530-4 doi (DE-627)SPR019148011 (SPR)s11425-018-9530-4-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Lee, Kyu-Hwan verfasserin aut Rigid reflections and Kac-Moody algebras 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter groups, we show that there is a surjective map from the set of reduced positive roots of a rank 2 Kac-Moody algebra onto the set of rigid reflections. We conjecture that this map is bijective. Coxeter groups (dpeaa)DE-He213 rigid reflections (dpeaa)DE-He213 rigid roots (dpeaa)DE-He213 non-self-crossing curves (dpeaa)DE-He213 Kac-Moody algebras (dpeaa)DE-He213 Lee, Kyungyong verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 62(2019), 7 vom: 23. Apr., Seite 1317-1330 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:62 year:2019 number:7 day:23 month:04 pages:1317-1330 https://dx.doi.org/10.1007/s11425-018-9530-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 62 2019 7 23 04 1317-1330
language	English
source	Enthalten in Science in China 62(2019), 7 vom: 23. Apr., Seite 1317-1330 volume:62 year:2019 number:7 day:23 month:04 pages:1317-1330
sourceStr	Enthalten in Science in China 62(2019), 7 vom: 23. Apr., Seite 1317-1330 volume:62 year:2019 number:7 day:23 month:04 pages:1317-1330
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Coxeter groups rigid reflections rigid roots non-self-crossing curves Kac-Moody algebras
dewey-raw	510
isfreeaccess_bool	false
container_title	Science in China
authorswithroles_txt_mv	Lee, Kyu-Hwan @@aut@@ Lee, Kyungyong @@aut@@
publishDateDaySort_date	2019-04-23T00:00:00Z
hierarchy_top_id	325695059
dewey-sort	3510
id	SPR019148011
language_de	englisch
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR019148011</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220111064911.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201006s2019 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11425-018-9530-4</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR019148011</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s11425-018-9530-4-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="a">530</subfield><subfield code="a">520</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">30.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lee, Kyu-Hwan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Rigid reflections and Kac-Moody algebras</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter groups, we show that there is a surjective map from the set of reduced positive roots of a rank 2 Kac-Moody algebra onto the set of rigid reflections. We conjecture that this map is bijective.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Coxeter groups</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">rigid reflections</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">rigid roots</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">non-self-crossing curves</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kac-Moody algebras</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lee, Kyungyong</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Science in China</subfield><subfield code="d">Asheville, NC : Science in China Press, 1995</subfield><subfield code="g">62(2019), 7 vom: 23. Apr., Seite 1317-1330</subfield><subfield code="w">(DE-627)325695059</subfield><subfield code="w">(DE-600)2038800-7</subfield><subfield code="x">1862-2763</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:62</subfield><subfield code="g">year:2019</subfield><subfield code="g">number:7</subfield><subfield code="g">day:23</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:1317-1330</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s11425-018-9530-4</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-AST</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-ASE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_23</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_31</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_32</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_39</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_60</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_69</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_73</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_74</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_90</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_95</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_100</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_105</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_110</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_120</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_138</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_152</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_161</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_171</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_187</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_224</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_250</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_281</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_285</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_293</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_370</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_602</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_702</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">30.00</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.00</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">62</subfield><subfield code="j">2019</subfield><subfield code="e">7</subfield><subfield code="b">23</subfield><subfield code="c">04</subfield><subfield code="h">1317-1330</subfield></datafield></record></collection>
author	Lee, Kyu-Hwan
spellingShingle	Lee, Kyu-Hwan ddc 510 bkl 30.00 bkl 31.00 misc Coxeter groups misc rigid reflections misc rigid roots misc non-self-crossing curves misc Kac-Moody algebras Rigid reflections and Kac-Moody algebras
authorStr	Lee, Kyu-Hwan
ppnlink_with_tag_str_mv	@@773@@(DE-627)325695059
format	electronic Article
dewey-ones	510 - Mathematics 530 - Physics 520 - Astronomy & allied sciences
delete_txt_mv	keep
author_role	aut aut
collection	springer
remote_str	true
illustrated	Not Illustrated
issn	1862-2763
topic_title	510 530 520 ASE 30.00 bkl 31.00 bkl Rigid reflections and Kac-Moody algebras Coxeter groups (dpeaa)DE-He213 rigid reflections (dpeaa)DE-He213 rigid roots (dpeaa)DE-He213 non-self-crossing curves (dpeaa)DE-He213 Kac-Moody algebras (dpeaa)DE-He213
topic	ddc 510 bkl 30.00 bkl 31.00 misc Coxeter groups misc rigid reflections misc rigid roots misc non-self-crossing curves misc Kac-Moody algebras
topic_unstemmed	ddc 510 bkl 30.00 bkl 31.00 misc Coxeter groups misc rigid reflections misc rigid roots misc non-self-crossing curves misc Kac-Moody algebras
topic_browse	ddc 510 bkl 30.00 bkl 31.00 misc Coxeter groups misc rigid reflections misc rigid roots misc non-self-crossing curves misc Kac-Moody algebras
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
format_main_str_mv	Text Zeitschrift/Artikel
carriertype_str_mv	cr
hierarchy_parent_title	Science in China
hierarchy_parent_id	325695059
dewey-tens	510 - Mathematics 530 - Physics 520 - Astronomy
hierarchy_top_title	Science in China
isfreeaccess_txt	false
familylinks_str_mv	(DE-627)325695059 (DE-600)2038800-7
title	Rigid reflections and Kac-Moody algebras
ctrlnum	(DE-627)SPR019148011 (SPR)s11425-018-9530-4-e
title_full	Rigid reflections and Kac-Moody algebras
author_sort	Lee, Kyu-Hwan
journal	Science in China
journalStr	Science in China
lang_code	eng
isOA_bool	false
dewey-hundreds	500 - Science
recordtype	marc
publishDateSort	2019
contenttype_str_mv	txt
container_start_page	1317
author_browse	Lee, Kyu-Hwan Lee, Kyungyong
container_volume	62
class	510 530 520 ASE 30.00 bkl 31.00 bkl
format_se	Elektronische Aufsätze
author-letter	Lee, Kyu-Hwan
doi_str_mv	10.1007/s11425-018-9530-4
dewey-full	510 530 520
author2-role	verfasserin
title_sort	rigid reflections and kac-moody algebras
title_auth	Rigid reflections and Kac-Moody algebras
abstract	Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter groups, we show that there is a surjective map from the set of reduced positive roots of a rank 2 Kac-Moody algebra onto the set of rigid reflections. We conjecture that this map is bijective.
abstractGer	Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter groups, we show that there is a surjective map from the set of reduced positive roots of a rank 2 Kac-Moody algebra onto the set of rigid reflections. We conjecture that this map is bijective.
abstract_unstemmed	Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter groups, we show that there is a surjective map from the set of reduced positive roots of a rank 2 Kac-Moody algebra onto the set of rigid reflections. We conjecture that this map is bijective.
collection_details	GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702
container_issue	7
title_short	Rigid reflections and Kac-Moody algebras
url	https://dx.doi.org/10.1007/s11425-018-9530-4
remote_bool	true
author2	Lee, Kyungyong
author2Str	Lee, Kyungyong
ppnlink	325695059
mediatype_str_mv	c
isOA_txt	false
hochschulschrift_bool	false
doi_str	10.1007/s11425-018-9530-4
up_date	2024-07-04T00:22:05.555Z
_version_	1803605797038456832
fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR019148011</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220111064911.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201006s2019 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11425-018-9530-4</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR019148011</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s11425-018-9530-4-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="a">530</subfield><subfield code="a">520</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">30.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lee, Kyu-Hwan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Rigid reflections and Kac-Moody algebras</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related to the rigid representations of the quiver. For a family of rank 3 Coxeter groups, we show that there is a surjective map from the set of reduced positive roots of a rank 2 Kac-Moody algebra onto the set of rigid reflections. We conjecture that this map is bijective.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Coxeter groups</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">rigid reflections</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">rigid roots</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">non-self-crossing curves</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kac-Moody algebras</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lee, Kyungyong</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Science in China</subfield><subfield code="d">Asheville, NC : Science in China Press, 1995</subfield><subfield code="g">62(2019), 7 vom: 23. Apr., Seite 1317-1330</subfield><subfield code="w">(DE-627)325695059</subfield><subfield code="w">(DE-600)2038800-7</subfield><subfield code="x">1862-2763</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:62</subfield><subfield code="g">year:2019</subfield><subfield code="g">number:7</subfield><subfield code="g">day:23</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:1317-1330</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s11425-018-9530-4</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-AST</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-ASE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_23</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_31</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_32</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_39</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_60</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_69</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_73</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_74</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_90</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_95</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_100</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_105</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_110</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_120</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_138</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_152</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_161</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_171</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_187</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_224</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_250</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_281</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_285</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_293</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_370</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_602</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_702</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">30.00</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.00</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">62</subfield><subfield code="j">2019</subfield><subfield code="e">7</subfield><subfield code="b">23</subfield><subfield code="c">04</subfield><subfield code="h">1317-1330</subfield></datafield></record></collection>
score	7.4004354

Nicht das Richtige dabei?

Schreiben Sie uns!

Rigid reflections and Kac-Moody algebras

Nicht das Richtige dabei?

Zugang & Verfügbarkeit

Vorhandene Bände

Nicht das Richtige dabei?