Nichols algebras of group type with many quadratic relations

We classify Nichols algebras of irreducible Yetter-Drinfeld modules over nonabelian groups satisfying an inequality for the dimension of the homogeneous subspace of degree two. All such Nichols algebras are finite-dimensional, and all known finite-dimensional Nichols algebras of nonabelian group typ...

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Detalles Bibliográficos
Autores principales: Graña, Matías Alejo, Vendramin, Leandro
Publicado: 2011
Materias:
Hopf algebras
Nichols algebras
Racks
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v227_n5_p1956_Grana
http://hdl.handle.net/20.500.12110/paper_00018708_v227_n5_p1956_Grana
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00018708_v227_n5_p1956_Grana
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spelling paper:paper_00018708_v227_n5_p1956_Grana2023-06-08T14:21:46Z Nichols algebras of group type with many quadratic relations Graña, Matías Alejo Vendramin, Leandro Hopf algebras Nichols algebras Racks We classify Nichols algebras of irreducible Yetter-Drinfeld modules over nonabelian groups satisfying an inequality for the dimension of the homogeneous subspace of degree two. All such Nichols algebras are finite-dimensional, and all known finite-dimensional Nichols algebras of nonabelian group type appear in the result of our classification. We find a new finite-dimensional Nichols algebra over fields of characteristic two. © 2011. 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_00018708_v227_n5_p1956_Grana http://hdl.handle.net/20.500.12110/paper_00018708_v227_n5_p1956_Grana
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
Racks
spellingShingle Hopf algebras
Nichols algebras
Racks
Graña, Matías Alejo
Vendramin, Leandro
Nichols algebras of group type with many quadratic relations
topic_facet Hopf algebras
Nichols algebras
Racks
description We classify Nichols algebras of irreducible Yetter-Drinfeld modules over nonabelian groups satisfying an inequality for the dimension of the homogeneous subspace of degree two. All such Nichols algebras are finite-dimensional, and all known finite-dimensional Nichols algebras of nonabelian group type appear in the result of our classification. We find a new finite-dimensional Nichols algebra over fields of characteristic two. © 2011.
author Graña, Matías Alejo
Vendramin, Leandro
author_facet Graña, Matías Alejo
Vendramin, Leandro
author_sort Graña, Matías Alejo
title Nichols algebras of group type with many quadratic relations
title_short Nichols algebras of group type with many quadratic relations
title_full Nichols algebras of group type with many quadratic relations
title_fullStr Nichols algebras of group type with many quadratic relations
title_full_unstemmed Nichols algebras of group type with many quadratic relations
title_sort nichols algebras of group type with many quadratic relations
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v227_n5_p1956_Grana
http://hdl.handle.net/20.500.12110/paper_00018708_v227_n5_p1956_Grana
work_keys_str_mv AT granamatiasalejo nicholsalgebrasofgrouptypewithmanyquadraticrelations
AT vendraminleandro nicholsalgebrasofgrouptypewithmanyquadraticrelations
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