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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todo:paper_00224049_v210_n2_p493_Grana2023-10-03T14:32:41Z Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism Graña, M. Guccione, J.A. Guccione, J.J. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00224049_v210_n2_p493_Grana |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
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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. |
| format |
JOUR |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00224049_v210_n2_p493_Grana |
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AT granam decompositionofsomepointedhopfalgebrasgivenbythecanonicalnakayamaautomorphism AT guccioneja decompositionofsomepointedhopfalgebrasgivenbythecanonicalnakayamaautomorphism AT guccionejj decompositionofsomepointedhopfalgebrasgivenbythecanonicalnakayamaautomorphism |
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1807315795051544576 |