Theory of braided Hopf crossed products

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We define a type of crossed product over braided Hopf algebras, which generalizes the ones introduced by Blattner, Cohen, and Montgomery, and Doi and Takeuchi, and we study some of its properties. For instance, we prove Maschke's Theorem for these new crossed products and we construct a natural...

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Detalles Bibliográficos
Autores principales: Guccione, J.A., Guccione, J.J.
Formato: JOUR
Materias:
Crossed products
Hopf algebra
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v261_n1_p54_Guccione
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00218693_v261_n1_p54_Guccione
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spelling todo:paper_00218693_v261_n1_p54_Guccione2023-10-03T14:21:21Z Theory of braided Hopf crossed products Guccione, J.A. Guccione, J.J. Crossed products Hopf algebra We define a type of crossed product over braided Hopf algebras, which generalizes the ones introduced by Blattner, Cohen, and Montgomery, and Doi and Takeuchi, and we study some of its properties. For instance, we prove Maschke's Theorem for these new crossed products and we construct a natural Morita context which extends the one obtained by Cohen, Fischman, and Montgomery. © 2003 Elsevier Science (USA). All rights reserved. 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_00218693_v261_n1_p54_Guccione
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Crossed products
Hopf algebra
spellingShingle Crossed products
Hopf algebra
Guccione, J.A.
Guccione, J.J.
Theory of braided Hopf crossed products
topic_facet Crossed products
Hopf algebra
description We define a type of crossed product over braided Hopf algebras, which generalizes the ones introduced by Blattner, Cohen, and Montgomery, and Doi and Takeuchi, and we study some of its properties. For instance, we prove Maschke's Theorem for these new crossed products and we construct a natural Morita context which extends the one obtained by Cohen, Fischman, and Montgomery. © 2003 Elsevier Science (USA). All rights reserved.
format JOUR
author Guccione, J.A.
Guccione, J.J.
author_facet Guccione, J.A.
Guccione, J.J.
author_sort Guccione, J.A.
title Theory of braided Hopf crossed products
title_short Theory of braided Hopf crossed products
title_full Theory of braided Hopf crossed products
title_fullStr Theory of braided Hopf crossed products
title_full_unstemmed Theory of braided Hopf crossed products
title_sort theory of braided hopf crossed products
url http://hdl.handle.net/20.500.12110/paper_00218693_v261_n1_p54_Guccione
work_keys_str_mv AT guccioneja theoryofbraidedhopfcrossedproducts
AT guccionejj theoryofbraidedhopfcrossedproducts
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