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

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, Matías Alejo, Guccione, Jorge Alberto, Guccione, Juan José
Publicado: 2007
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v210_n2_p493_Grana
http://hdl.handle.net/20.500.12110/paper_00224049_v210_n2_p493_Grana
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_00224049_v210_n2_p493_Grana2025-07-30T17:32:29Z Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism Graña, Matías Alejo Guccione, Jorge Alberto Guccione, Juan José 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. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v210_n2_p493_Grana http://hdl.handle.net/20.500.12110/paper_00224049_v210_n2_p493_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 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.
author Graña, Matías Alejo
Guccione, Jorge Alberto
Guccione, Juan José
spellingShingle Graña, Matías Alejo
Guccione, Jorge Alberto
Guccione, Juan José
Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism
author_facet Graña, Matías Alejo
Guccione, Jorge Alberto
Guccione, Juan José
author_sort Graña, Matías Alejo
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v210_n2_p493_Grana
http://hdl.handle.net/20.500.12110/paper_00224049_v210_n2_p493_Grana
work_keys_str_mv AT granamatiasalejo decompositionofsomepointedhopfalgebrasgivenbythecanonicalnakayamaautomorphism
AT guccionejorgealberto decompositionofsomepointedhopfalgebrasgivenbythecanonicalnakayamaautomorphism
AT guccionejuanjose decompositionofsomepointedhopfalgebrasgivenbythecanonicalnakayamaautomorphism
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