Nichols algebras over groups with finite root system of rank two III

We compute the finite-dimensional Nichols algebras over the sum of two simple Yetter-Drinfeld modules V and W over non-abelian epimorphic images of a certain central extension of the dihedral group of eight elements or SL(2, 3), and such that the Weyl groupoid of the pair (V, W) is finite. These cen...

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Detalles Bibliográficos
Autor principal: Vendramin, Leandro
Publicado: 2015
Materias:
Hopf algebras
Nichols algebras
Weyl groupoids
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v422_n_p223_Heckenberger
http://hdl.handle.net/20.500.12110/paper_00218693_v422_n_p223_Heckenberger
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00218693_v422_n_p223_Heckenberger
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spelling paper:paper_00218693_v422_n_p223_Heckenberger2023-06-08T14:42:27Z Nichols algebras over groups with finite root system of rank two III Vendramin, Leandro Hopf algebras Nichols algebras Weyl groupoids We compute the finite-dimensional Nichols algebras over the sum of two simple Yetter-Drinfeld modules V and W over non-abelian epimorphic images of a certain central extension of the dihedral group of eight elements or SL(2, 3), and such that the Weyl groupoid of the pair (V, W) is finite. These central extensions appear in the classification of non-elementary finite-dimensional Nichols algebras with finite Weyl groupoid of rank two. We deduce new information on the structure of primitive elements of finite-dimensional Nichols algebras over groups. © 2014 Elsevier Inc. Fil:Vendramin, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v422_n_p223_Heckenberger http://hdl.handle.net/20.500.12110/paper_00218693_v422_n_p223_Heckenberger
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Hopf algebras
Nichols algebras
Weyl groupoids
spellingShingle Hopf algebras
Nichols algebras
Weyl groupoids
Vendramin, Leandro
Nichols algebras over groups with finite root system of rank two III
topic_facet Hopf algebras
Nichols algebras
Weyl groupoids
description We compute the finite-dimensional Nichols algebras over the sum of two simple Yetter-Drinfeld modules V and W over non-abelian epimorphic images of a certain central extension of the dihedral group of eight elements or SL(2, 3), and such that the Weyl groupoid of the pair (V, W) is finite. These central extensions appear in the classification of non-elementary finite-dimensional Nichols algebras with finite Weyl groupoid of rank two. We deduce new information on the structure of primitive elements of finite-dimensional Nichols algebras over groups. © 2014 Elsevier Inc.
author Vendramin, Leandro
author_facet Vendramin, Leandro
author_sort Vendramin, Leandro
title Nichols algebras over groups with finite root system of rank two III
title_short Nichols algebras over groups with finite root system of rank two III
title_full Nichols algebras over groups with finite root system of rank two III
title_fullStr Nichols algebras over groups with finite root system of rank two III
title_full_unstemmed Nichols algebras over groups with finite root system of rank two III
title_sort nichols algebras over groups with finite root system of rank two iii
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v422_n_p223_Heckenberger
http://hdl.handle.net/20.500.12110/paper_00218693_v422_n_p223_Heckenberger
work_keys_str_mv AT vendraminleandro nicholsalgebrasovergroupswithfiniterootsystemofranktwoiii
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