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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Autores principales: Heckenberger, I., Vendramin, L.
Formato: JOUR
Materias:
Hopf algebras
Nichols algebras
Weyl groupoids
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v422_n_p223_Heckenberger
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_00218693_v422_n_p223_Heckenberger2023-10-03T14:21:32Z Nichols algebras over groups with finite root system of rank two III Heckenberger, I. Vendramin, L. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Heckenberger, I.
Vendramin, L.
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.
format JOUR
author Heckenberger, I.
Vendramin, L.
author_facet Heckenberger, I.
Vendramin, L.
author_sort Heckenberger, I.
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
url http://hdl.handle.net/20.500.12110/paper_00218693_v422_n_p223_Heckenberger
work_keys_str_mv AT heckenbergeri nicholsalgebrasovergroupswithfiniterootsystemofranktwoiii
AT vendraminl nicholsalgebrasovergroupswithfiniterootsystemofranktwoiii
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