Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism

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Every finite dimensional Hopf algebra is a Frobenius algebra, with Frobenius homomorphism given by an integral. The Nakayama automorphism determined by it yields a decomposition with degrees in a cyclic group. For a family of pointed Hopf algebras, we determine necessary and sufficient conditions fo...

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Autores principales: Graña, M., Guccione, J.A., Guccione, J.J.
Formato: Artículo publishedVersion
Publicado: 2007
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00224049_v210_n2_p493_Grana
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00224049_v210_n2_p493_Grana_oai
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spelling I28-R145-paper_00224049_v210_n2_p493_Grana_oai2024-08-16 Graña, M. Guccione, J.A. Guccione, J.J. 2007 Every finite dimensional Hopf algebra is a Frobenius algebra, with Frobenius homomorphism given by an integral. The Nakayama automorphism determined by it yields a decomposition with degrees in a cyclic group. For a family of pointed Hopf algebras, we determine necessary and sufficient conditions for this decomposition to be strongly graded. © 2006 Elsevier Ltd. All rights reserved. Fil:Graña, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00224049_v210_n2_p493_Grana info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Pure Appl. Algebra 2007;210(2):493-500 Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism 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_00224049_v210_n2_p493_Grana_oai
institution Universidad de Buenos Aires
institution_str I-28
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collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
description Every finite dimensional Hopf algebra is a Frobenius algebra, with Frobenius homomorphism given by an integral. The Nakayama automorphism determined by it yields a decomposition with degrees in a cyclic group. For a family of pointed Hopf algebras, we determine necessary and sufficient conditions for this decomposition to be strongly graded. © 2006 Elsevier Ltd. All rights reserved.
format Artículo
Artículo
publishedVersion
author Graña, M.
Guccione, J.A.
Guccione, J.J.
spellingShingle Graña, M.
Guccione, J.A.
Guccione, J.J.
Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism
author_facet Graña, M.
Guccione, J.A.
Guccione, J.J.
author_sort Graña, M.
title Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism
title_short Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism
title_full Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism
title_fullStr Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism
title_full_unstemmed Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism
title_sort decomposition of some pointed hopf algebras given by the canonical nakayama automorphism
publishDate 2007
url http://hdl.handle.net/20.500.12110/paper_00224049_v210_n2_p493_Grana
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00224049_v210_n2_p493_Grana_oai
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