Pointed Hopf algebras over the sporadic simple groups

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We show that every finite-dimensional complex pointed Hopf algebra with group of group-likes isomorphic to a sporadic group is a group algebra, except for the Fischer group Fi22, the Baby Monster and the Monster. For these three groups, we give a short list of irreducible Yetter-Drinfeld modules who...

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Autores principales: Andruskiewitsch, N., Fantino, F., Graña, M., Vendramin, L.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2011
Materias:
16W30
17B37
Nichols algebras
Pointed Hopf algebras
Racks
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v325_n1_p305_Andruskiewitsch
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paperaa:paper_00218693_v325_n1_p305_Andruskiewitsch
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spelling paperaa:paper_00218693_v325_n1_p305_Andruskiewitsch2023-06-12T16:42:27Z Pointed Hopf algebras over the sporadic simple groups J. Algebra 2011;325(1):305-320 Andruskiewitsch, N. Fantino, F. Graña, M. Vendramin, L. 16W30 17B37 Nichols algebras Pointed Hopf algebras Racks We show that every finite-dimensional complex pointed Hopf algebra with group of group-likes isomorphic to a sporadic group is a group algebra, except for the Fischer group Fi22, the Baby Monster and the Monster. For these three groups, we give a short list of irreducible Yetter-Drinfeld modules whose Nichols algebra is not known to be finite-dimensional. © 2010 Elsevier Inc. Fil:Andruskiewitsch, N. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Graña, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Vendramin, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00218693_v325_n1_p305_Andruskiewitsch
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic 16W30
17B37
Nichols algebras
Pointed Hopf algebras
Racks
spellingShingle 16W30
17B37
Nichols algebras
Pointed Hopf algebras
Racks
Andruskiewitsch, N.
Fantino, F.
Graña, M.
Vendramin, L.
Pointed Hopf algebras over the sporadic simple groups
topic_facet 16W30
17B37
Nichols algebras
Pointed Hopf algebras
Racks
description We show that every finite-dimensional complex pointed Hopf algebra with group of group-likes isomorphic to a sporadic group is a group algebra, except for the Fischer group Fi22, the Baby Monster and the Monster. For these three groups, we give a short list of irreducible Yetter-Drinfeld modules whose Nichols algebra is not known to be finite-dimensional. © 2010 Elsevier Inc.
format Artículo
Artículo
publishedVersion
author Andruskiewitsch, N.
Fantino, F.
Graña, M.
Vendramin, L.
author_facet Andruskiewitsch, N.
Fantino, F.
Graña, M.
Vendramin, L.
author_sort Andruskiewitsch, N.
title Pointed Hopf algebras over the sporadic simple groups
title_short Pointed Hopf algebras over the sporadic simple groups
title_full Pointed Hopf algebras over the sporadic simple groups
title_fullStr Pointed Hopf algebras over the sporadic simple groups
title_full_unstemmed Pointed Hopf algebras over the sporadic simple groups
title_sort pointed hopf algebras over the sporadic simple groups
publishDate 2011
url http://hdl.handle.net/20.500.12110/paper_00218693_v325_n1_p305_Andruskiewitsch
work_keys_str_mv AT andruskiewitschn pointedhopfalgebrasoverthesporadicsimplegroups
AT fantinof pointedhopfalgebrasoverthesporadicsimplegroups
AT granam pointedhopfalgebrasoverthesporadicsimplegroups
AT vendraminl pointedhopfalgebrasoverthesporadicsimplegroups
_version_ 1769810213747032064

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