Pointed Hopf algebras of dimension 32

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We give a complete classification of the 32-dimensional pointed Hopf algebras over an algebraically closed field k with char k ≠ 2. It turns out that there are infinite families of isomorphism classes of pointed Hopf algebras of dimension 32. In [AS1], [BDG] and [Ge] are given families of counterexa...

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Autor principal: Graña, M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00927872_v28_n6_p2935_Grana
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00927872_v28_n6_p2935_Grana
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spelling todo:paper_00927872_v28_n6_p2935_Grana2023-10-03T14:55:13Z Pointed Hopf algebras of dimension 32 Graña, M. We give a complete classification of the 32-dimensional pointed Hopf algebras over an algebraically closed field k with char k ≠ 2. It turns out that there are infinite families of isomorphism classes of pointed Hopf algebras of dimension 32. In [AS1], [BDG] and [Ge] are given families of counterexamples for the tenth Kaplansky conjecture. Up to now, 32 is the lowest dimension where Kaplansky conjecture fails. Fil:Graña, M. 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_00927872_v28_n6_p2935_Grana
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We give a complete classification of the 32-dimensional pointed Hopf algebras over an algebraically closed field k with char k ≠ 2. It turns out that there are infinite families of isomorphism classes of pointed Hopf algebras of dimension 32. In [AS1], [BDG] and [Ge] are given families of counterexamples for the tenth Kaplansky conjecture. Up to now, 32 is the lowest dimension where Kaplansky conjecture fails.
format JOUR
author Graña, M.
spellingShingle Graña, M.
Pointed Hopf algebras of dimension 32
author_facet Graña, M.
author_sort Graña, M.
title Pointed Hopf algebras of dimension 32
title_short Pointed Hopf algebras of dimension 32
title_full Pointed Hopf algebras of dimension 32
title_fullStr Pointed Hopf algebras of dimension 32
title_full_unstemmed Pointed Hopf algebras of dimension 32
title_sort pointed hopf algebras of dimension 32
url http://hdl.handle.net/20.500.12110/paper_00927872_v28_n6_p2935_Grana
work_keys_str_mv AT granam pointedhopfalgebrasofdimension32
_version_ 1807324588625887232

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