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
Autor*in: |
Lee, Kyu-Hwan [verfasserIn] Lee, Kyungyong [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2019 |
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Übergeordnetes Werk: |
Enthalten in: Science in China - Asheville, NC : Science in China Press, 1995, 62(2019), 7 vom: 23. Apr., Seite 1317-1330 |
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Übergeordnetes Werk: |
volume:62 ; year:2019 ; number:7 ; day:23 ; month:04 ; pages:1317-1330 |
Links: |
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DOI / URN: |
10.1007/s11425-018-9530-4 |
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Katalog-ID: |
SPR019148011 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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Rigid reflections and Kac-Moody algebras |
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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. |
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