Nichols algebras of group type with many quadratic relations

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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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Autores principales: Graña, M., Heckenberger, I., Vendramin, L.
Formato: Artículo publishedVersion
Publicado: 2011
Materias:
Hopf algebras
Nichols algebras
Racks
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00018708_v227_n5_p1956_Grana
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00018708_v227_n5_p1956_Grana_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_00018708_v227_n5_p1956_Grana_oai
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spelling I28-R145-paper_00018708_v227_n5_p1956_Grana_oai2024-08-16 Graña, M. Heckenberger, I. Vendramin, L. 2011 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00018708_v227_n5_p1956_Grana info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Adv. Math. 2011;227(5):1956-1989 Hopf algebras Nichols algebras Racks Nichols algebras of group type with many quadratic relations 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_00018708_v227_n5_p1956_Grana_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 Hopf algebras
Nichols algebras
Racks
spellingShingle Hopf algebras
Nichols algebras
Racks
Graña, M.
Heckenberger, I.
Vendramin, L.
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.
format Artículo
Artículo
publishedVersion
author Graña, M.
Heckenberger, I.
Vendramin, L.
author_facet Graña, M.
Heckenberger, I.
Vendramin, L.
author_sort Graña, M.
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 http://hdl.handle.net/20.500.12110/paper_00018708_v227_n5_p1956_Grana
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00018708_v227_n5_p1956_Grana_oai
work_keys_str_mv AT granam nicholsalgebrasofgrouptypewithmanyquadraticrelations
AT heckenbergeri nicholsalgebrasofgrouptypewithmanyquadraticrelations
AT vendraminl nicholsalgebrasofgrouptypewithmanyquadraticrelations
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