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
Lenguaje:Inglés
Publicado: 2011
Materias:
Hopf algebras
Nichols algebras
Racks
Acceso en línea: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 paperaa:paper_00018708_v227_n5_p1956_Grana
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spelling paperaa:paper_00018708_v227_n5_p1956_Grana2023-06-12T16:39:29Z Nichols algebras of group type with many quadratic relations Adv. Math. 2011;227(5):1956-1989 Graña, M. Heckenberger, I. Vendramin, L. 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 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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)
language Inglés
orig_language_str_mv eng
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
work_keys_str_mv AT granam nicholsalgebrasofgrouptypewithmanyquadraticrelations
AT heckenbergeri nicholsalgebrasofgrouptypewithmanyquadraticrelations
AT vendraminl nicholsalgebrasofgrouptypewithmanyquadraticrelations
_version_ 1769810055857700864

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