Classification of irreducible quasifinite modules over map Virasoro algebras
Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products o...
Ausführliche Beschreibung
Autor*in: |
Savage, Alistair [verfasserIn] |
---|
Format: |
Artikel |
---|---|
Sprache: |
Englisch |
Erschienen: |
2012 |
---|
Schlagwörter: |
---|
Anmerkung: |
© Springer Science+Business Media, LLC 2012 |
---|
Übergeordnetes Werk: |
Enthalten in: Transformation groups - SP Birkhäuser Verlag Boston, 1996, 17(2012), 2 vom: 17. Apr., Seite 547-570 |
---|---|
Übergeordnetes Werk: |
volume:17 ; year:2012 ; number:2 ; day:17 ; month:04 ; pages:547-570 |
Links: |
---|
DOI / URN: |
10.1007/s00031-012-9182-9 |
---|
Katalog-ID: |
OLC2040055703 |
---|
LEADER | 01000caa a22002652 4500 | ||
---|---|---|---|
001 | OLC2040055703 | ||
003 | DE-627 | ||
005 | 20230323114418.0 | ||
007 | tu | ||
008 | 200819s2012 xx ||||| 00| ||eng c | ||
024 | 7 | |a 10.1007/s00031-012-9182-9 |2 doi | |
035 | |a (DE-627)OLC2040055703 | ||
035 | |a (DE-He213)s00031-012-9182-9-p | ||
040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
041 | |a eng | ||
082 | 0 | 4 | |a 510 |q VZ |
084 | |a 17,1 |2 ssgn | ||
100 | 1 | |a Savage, Alistair |e verfasserin |4 aut | |
245 | 1 | 0 | |a Classification of irreducible quasifinite modules over map Virasoro algebras |
264 | 1 | |c 2012 | |
336 | |a Text |b txt |2 rdacontent | ||
337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
338 | |a Band |b nc |2 rdacarrier | ||
500 | |a © Springer Science+Business Media, LLC 2012 | ||
520 | |a Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products of generalized evaluation modules. We also give an explicit sufficient condition for a Verma module of Vir ⊗ A to be reducible. In the case that A is an infinite-dimensional integral domain, this condition is also necessary. | ||
650 | 4 | |a Weight Space | |
650 | 4 | |a Weight Module | |
650 | 4 | |a Verma Module | |
650 | 4 | |a High Weight Vector | |
650 | 4 | |a High Weight Module | |
773 | 0 | 8 | |i Enthalten in |t Transformation groups |d SP Birkhäuser Verlag Boston, 1996 |g 17(2012), 2 vom: 17. Apr., Seite 547-570 |w (DE-627)214901173 |w (DE-600)1332663-6 |w (DE-576)054227798 |x 1083-4362 |7 nnns |
773 | 1 | 8 | |g volume:17 |g year:2012 |g number:2 |g day:17 |g month:04 |g pages:547-570 |
856 | 4 | 1 | |u https://doi.org/10.1007/s00031-012-9182-9 |z lizenzpflichtig |3 Volltext |
912 | |a GBV_USEFLAG_A | ||
912 | |a SYSFLAG_A | ||
912 | |a GBV_OLC | ||
912 | |a SSG-OLC-MAT | ||
912 | |a SSG-OPC-MAT | ||
912 | |a GBV_ILN_40 | ||
912 | |a GBV_ILN_2002 | ||
912 | |a GBV_ILN_2004 | ||
912 | |a GBV_ILN_2012 | ||
912 | |a GBV_ILN_2088 | ||
912 | |a GBV_ILN_2409 | ||
951 | |a AR | ||
952 | |d 17 |j 2012 |e 2 |b 17 |c 04 |h 547-570 |
author_variant |
a s as |
---|---|
matchkey_str |
article:10834362:2012----::lsiiainfreuilqaiiieoueoem |
hierarchy_sort_str |
2012 |
publishDate |
2012 |
allfields |
10.1007/s00031-012-9182-9 doi (DE-627)OLC2040055703 (DE-He213)s00031-012-9182-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Savage, Alistair verfasserin aut Classification of irreducible quasifinite modules over map Virasoro algebras 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2012 Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products of generalized evaluation modules. We also give an explicit sufficient condition for a Verma module of Vir ⊗ A to be reducible. In the case that A is an infinite-dimensional integral domain, this condition is also necessary. Weight Space Weight Module Verma Module High Weight Vector High Weight Module Enthalten in Transformation groups SP Birkhäuser Verlag Boston, 1996 17(2012), 2 vom: 17. Apr., Seite 547-570 (DE-627)214901173 (DE-600)1332663-6 (DE-576)054227798 1083-4362 nnns volume:17 year:2012 number:2 day:17 month:04 pages:547-570 https://doi.org/10.1007/s00031-012-9182-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_2409 AR 17 2012 2 17 04 547-570 |
spelling |
10.1007/s00031-012-9182-9 doi (DE-627)OLC2040055703 (DE-He213)s00031-012-9182-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Savage, Alistair verfasserin aut Classification of irreducible quasifinite modules over map Virasoro algebras 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2012 Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products of generalized evaluation modules. We also give an explicit sufficient condition for a Verma module of Vir ⊗ A to be reducible. In the case that A is an infinite-dimensional integral domain, this condition is also necessary. Weight Space Weight Module Verma Module High Weight Vector High Weight Module Enthalten in Transformation groups SP Birkhäuser Verlag Boston, 1996 17(2012), 2 vom: 17. Apr., Seite 547-570 (DE-627)214901173 (DE-600)1332663-6 (DE-576)054227798 1083-4362 nnns volume:17 year:2012 number:2 day:17 month:04 pages:547-570 https://doi.org/10.1007/s00031-012-9182-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_2409 AR 17 2012 2 17 04 547-570 |
allfields_unstemmed |
10.1007/s00031-012-9182-9 doi (DE-627)OLC2040055703 (DE-He213)s00031-012-9182-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Savage, Alistair verfasserin aut Classification of irreducible quasifinite modules over map Virasoro algebras 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2012 Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products of generalized evaluation modules. We also give an explicit sufficient condition for a Verma module of Vir ⊗ A to be reducible. In the case that A is an infinite-dimensional integral domain, this condition is also necessary. Weight Space Weight Module Verma Module High Weight Vector High Weight Module Enthalten in Transformation groups SP Birkhäuser Verlag Boston, 1996 17(2012), 2 vom: 17. Apr., Seite 547-570 (DE-627)214901173 (DE-600)1332663-6 (DE-576)054227798 1083-4362 nnns volume:17 year:2012 number:2 day:17 month:04 pages:547-570 https://doi.org/10.1007/s00031-012-9182-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_2409 AR 17 2012 2 17 04 547-570 |
allfieldsGer |
10.1007/s00031-012-9182-9 doi (DE-627)OLC2040055703 (DE-He213)s00031-012-9182-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Savage, Alistair verfasserin aut Classification of irreducible quasifinite modules over map Virasoro algebras 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2012 Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products of generalized evaluation modules. We also give an explicit sufficient condition for a Verma module of Vir ⊗ A to be reducible. In the case that A is an infinite-dimensional integral domain, this condition is also necessary. Weight Space Weight Module Verma Module High Weight Vector High Weight Module Enthalten in Transformation groups SP Birkhäuser Verlag Boston, 1996 17(2012), 2 vom: 17. Apr., Seite 547-570 (DE-627)214901173 (DE-600)1332663-6 (DE-576)054227798 1083-4362 nnns volume:17 year:2012 number:2 day:17 month:04 pages:547-570 https://doi.org/10.1007/s00031-012-9182-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_2409 AR 17 2012 2 17 04 547-570 |
allfieldsSound |
10.1007/s00031-012-9182-9 doi (DE-627)OLC2040055703 (DE-He213)s00031-012-9182-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Savage, Alistair verfasserin aut Classification of irreducible quasifinite modules over map Virasoro algebras 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2012 Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products of generalized evaluation modules. We also give an explicit sufficient condition for a Verma module of Vir ⊗ A to be reducible. In the case that A is an infinite-dimensional integral domain, this condition is also necessary. Weight Space Weight Module Verma Module High Weight Vector High Weight Module Enthalten in Transformation groups SP Birkhäuser Verlag Boston, 1996 17(2012), 2 vom: 17. Apr., Seite 547-570 (DE-627)214901173 (DE-600)1332663-6 (DE-576)054227798 1083-4362 nnns volume:17 year:2012 number:2 day:17 month:04 pages:547-570 https://doi.org/10.1007/s00031-012-9182-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_2409 AR 17 2012 2 17 04 547-570 |
language |
English |
source |
Enthalten in Transformation groups 17(2012), 2 vom: 17. Apr., Seite 547-570 volume:17 year:2012 number:2 day:17 month:04 pages:547-570 |
sourceStr |
Enthalten in Transformation groups 17(2012), 2 vom: 17. Apr., Seite 547-570 volume:17 year:2012 number:2 day:17 month:04 pages:547-570 |
format_phy_str_mv |
Article |
institution |
findex.gbv.de |
topic_facet |
Weight Space Weight Module Verma Module High Weight Vector High Weight Module |
dewey-raw |
510 |
isfreeaccess_bool |
false |
container_title |
Transformation groups |
authorswithroles_txt_mv |
Savage, Alistair @@aut@@ |
publishDateDaySort_date |
2012-04-17T00:00:00Z |
hierarchy_top_id |
214901173 |
dewey-sort |
3510 |
id |
OLC2040055703 |
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">OLC2040055703</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230323114418.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2012 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00031-012-9182-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2040055703</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00031-012-9182-9-p</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="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Savage, Alistair</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Classification of irreducible quasifinite modules over map Virasoro algebras</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2012</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">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, LLC 2012</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products of generalized evaluation modules. We also give an explicit sufficient condition for a Verma module of Vir ⊗ A to be reducible. In the case that A is an infinite-dimensional integral domain, this condition is also necessary.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Weight Space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Weight Module</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Verma Module</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">High Weight Vector</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">High Weight Module</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Transformation groups</subfield><subfield code="d">SP Birkhäuser Verlag Boston, 1996</subfield><subfield code="g">17(2012), 2 vom: 17. Apr., Seite 547-570</subfield><subfield code="w">(DE-627)214901173</subfield><subfield code="w">(DE-600)1332663-6</subfield><subfield code="w">(DE-576)054227798</subfield><subfield code="x">1083-4362</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:17</subfield><subfield code="g">year:2012</subfield><subfield code="g">number:2</subfield><subfield code="g">day:17</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:547-570</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00031-012-9182-9</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_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</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_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2004</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2409</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">17</subfield><subfield code="j">2012</subfield><subfield code="e">2</subfield><subfield code="b">17</subfield><subfield code="c">04</subfield><subfield code="h">547-570</subfield></datafield></record></collection>
|
author |
Savage, Alistair |
spellingShingle |
Savage, Alistair ddc 510 ssgn 17,1 misc Weight Space misc Weight Module misc Verma Module misc High Weight Vector misc High Weight Module Classification of irreducible quasifinite modules over map Virasoro algebras |
authorStr |
Savage, Alistair |
ppnlink_with_tag_str_mv |
@@773@@(DE-627)214901173 |
format |
Article |
dewey-ones |
510 - Mathematics |
delete_txt_mv |
keep |
author_role |
aut |
collection |
OLC |
remote_str |
false |
illustrated |
Not Illustrated |
issn |
1083-4362 |
topic_title |
510 VZ 17,1 ssgn Classification of irreducible quasifinite modules over map Virasoro algebras Weight Space Weight Module Verma Module High Weight Vector High Weight Module |
topic |
ddc 510 ssgn 17,1 misc Weight Space misc Weight Module misc Verma Module misc High Weight Vector misc High Weight Module |
topic_unstemmed |
ddc 510 ssgn 17,1 misc Weight Space misc Weight Module misc Verma Module misc High Weight Vector misc High Weight Module |
topic_browse |
ddc 510 ssgn 17,1 misc Weight Space misc Weight Module misc Verma Module misc High Weight Vector misc High Weight Module |
format_facet |
Aufsätze Gedruckte Aufsätze |
format_main_str_mv |
Text Zeitschrift/Artikel |
carriertype_str_mv |
nc |
hierarchy_parent_title |
Transformation groups |
hierarchy_parent_id |
214901173 |
dewey-tens |
510 - Mathematics |
hierarchy_top_title |
Transformation groups |
isfreeaccess_txt |
false |
familylinks_str_mv |
(DE-627)214901173 (DE-600)1332663-6 (DE-576)054227798 |
title |
Classification of irreducible quasifinite modules over map Virasoro algebras |
ctrlnum |
(DE-627)OLC2040055703 (DE-He213)s00031-012-9182-9-p |
title_full |
Classification of irreducible quasifinite modules over map Virasoro algebras |
author_sort |
Savage, Alistair |
journal |
Transformation groups |
journalStr |
Transformation groups |
lang_code |
eng |
isOA_bool |
false |
dewey-hundreds |
500 - Science |
recordtype |
marc |
publishDateSort |
2012 |
contenttype_str_mv |
txt |
container_start_page |
547 |
author_browse |
Savage, Alistair |
container_volume |
17 |
class |
510 VZ 17,1 ssgn |
format_se |
Aufsätze |
author-letter |
Savage, Alistair |
doi_str_mv |
10.1007/s00031-012-9182-9 |
dewey-full |
510 |
title_sort |
classification of irreducible quasifinite modules over map virasoro algebras |
title_auth |
Classification of irreducible quasifinite modules over map Virasoro algebras |
abstract |
Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products of generalized evaluation modules. We also give an explicit sufficient condition for a Verma module of Vir ⊗ A to be reducible. In the case that A is an infinite-dimensional integral domain, this condition is also necessary. © Springer Science+Business Media, LLC 2012 |
abstractGer |
Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products of generalized evaluation modules. We also give an explicit sufficient condition for a Verma module of Vir ⊗ A to be reducible. In the case that A is an infinite-dimensional integral domain, this condition is also necessary. © Springer Science+Business Media, LLC 2012 |
abstract_unstemmed |
Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products of generalized evaluation modules. We also give an explicit sufficient condition for a Verma module of Vir ⊗ A to be reducible. In the case that A is an infinite-dimensional integral domain, this condition is also necessary. © Springer Science+Business Media, LLC 2012 |
collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_2409 |
container_issue |
2 |
title_short |
Classification of irreducible quasifinite modules over map Virasoro algebras |
url |
https://doi.org/10.1007/s00031-012-9182-9 |
remote_bool |
false |
ppnlink |
214901173 |
mediatype_str_mv |
n |
isOA_txt |
false |
hochschulschrift_bool |
false |
doi_str |
10.1007/s00031-012-9182-9 |
up_date |
2024-07-04T01:06:18.676Z |
_version_ |
1803608579035365376 |
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">OLC2040055703</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230323114418.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2012 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00031-012-9182-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2040055703</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00031-012-9182-9-p</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="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Savage, Alistair</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Classification of irreducible quasifinite modules over map Virasoro algebras</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2012</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">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, LLC 2012</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir ⊗ A, where Vir is the Virasoro algebra and A is a finitely generated commutative associative unital algebra over the complex numbers. It is shown that all such modules are tensor products of generalized evaluation modules. We also give an explicit sufficient condition for a Verma module of Vir ⊗ A to be reducible. In the case that A is an infinite-dimensional integral domain, this condition is also necessary.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Weight Space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Weight Module</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Verma Module</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">High Weight Vector</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">High Weight Module</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Transformation groups</subfield><subfield code="d">SP Birkhäuser Verlag Boston, 1996</subfield><subfield code="g">17(2012), 2 vom: 17. Apr., Seite 547-570</subfield><subfield code="w">(DE-627)214901173</subfield><subfield code="w">(DE-600)1332663-6</subfield><subfield code="w">(DE-576)054227798</subfield><subfield code="x">1083-4362</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:17</subfield><subfield code="g">year:2012</subfield><subfield code="g">number:2</subfield><subfield code="g">day:17</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:547-570</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00031-012-9182-9</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_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</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_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2004</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2409</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">17</subfield><subfield code="j">2012</subfield><subfield code="e">2</subfield><subfield code="b">17</subfield><subfield code="c">04</subfield><subfield code="h">547-570</subfield></datafield></record></collection>
|
score |
7.398943 |