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
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
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v325_n1_p305_Andruskiewitsch_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_00218693_v325_n1_p305_Andruskiewitsch_oai
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spelling I28-R145-paper_00218693_v325_n1_p305_Andruskiewitsch_oai2024-08-16 Andruskiewitsch, N. Fantino, F. Graña, M. Vendramin, L. 2011 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00218693_v325_n1_p305_Andruskiewitsch info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Algebra 2011;325(1):305-320 16W30 17B37 Nichols algebras Pointed Hopf algebras Racks Pointed Hopf algebras over the sporadic simple groups info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v325_n1_p305_Andruskiewitsch_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
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
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v325_n1_p305_Andruskiewitsch_oai
work_keys_str_mv AT andruskiewitschn pointedhopfalgebrasoverthesporadicsimplegroups
AT fantinof pointedhopfalgebrasoverthesporadicsimplegroups
AT granam pointedhopfalgebrasoverthesporadicsimplegroups
AT vendraminl pointedhopfalgebrasoverthesporadicsimplegroups
_version_ 1809357060268097536

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