Pointed Hopf algebras over the sporadic simple groups

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, Nicolás, Graña, Matías Alejo, Vendramin, Leandro
Publicado: 2011
Materias:
16W30
17B37
Nichols algebras
Pointed Hopf algebras
Racks
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v325_n1_p305_Andruskiewitsch
http://hdl.handle.net/20.500.12110/paper_00218693_v325_n1_p305_Andruskiewitsch
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00218693_v325_n1_p305_Andruskiewitsch
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spelling paper:paper_00218693_v325_n1_p305_Andruskiewitsch2023-06-08T14:42:25Z Pointed Hopf algebras over the sporadic simple groups Andruskiewitsch, Nicolás Graña, Matías Alejo Vendramin, Leandro 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v325_n1_p305_Andruskiewitsch 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)
topic 16W30
17B37
Nichols algebras
Pointed Hopf algebras
Racks
spellingShingle 16W30
17B37
Nichols algebras
Pointed Hopf algebras
Racks
Andruskiewitsch, Nicolás
Graña, Matías Alejo
Vendramin, Leandro
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.
author Andruskiewitsch, Nicolás
Graña, Matías Alejo
Vendramin, Leandro
author_facet Andruskiewitsch, Nicolás
Graña, Matías Alejo
Vendramin, Leandro
author_sort Andruskiewitsch, Nicolás
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v325_n1_p305_Andruskiewitsch
http://hdl.handle.net/20.500.12110/paper_00218693_v325_n1_p305_Andruskiewitsch
work_keys_str_mv AT andruskiewitschnicolas pointedhopfalgebrasoverthesporadicsimplegroups
AT granamatiasalejo pointedhopfalgebrasoverthesporadicsimplegroups
AT vendraminleandro pointedhopfalgebrasoverthesporadicsimplegroups
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