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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2007
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00224049_v210_n2_p493_Grana |
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paperaa:paper_00224049_v210_n2_p493_Grana2023-06-12T16:44:49Z Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism J. Pure Appl. Algebra 2007;210(2):493-500 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. 2007 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_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) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| 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 |
| work_keys_str_mv |
AT granam decompositionofsomepointedhopfalgebrasgivenbythecanonicalnakayamaautomorphism AT guccioneja decompositionofsomepointedhopfalgebrasgivenbythecanonicalnakayamaautomorphism AT guccionejj decompositionofsomepointedhopfalgebrasgivenbythecanonicalnakayamaautomorphism |
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