Theory of braided Hopf crossed products

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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Autores principales: Guccione, J.A., Guccione, J.J.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2003
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v261_n1_p54_Guccione
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spelling paperaa:paper_00218693_v261_n1_p54_Guccione2023-06-12T16:42:22Z Theory of braided Hopf crossed products J. Algebra 2003;261(1):54-101 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. 2003 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_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)
language Inglés
orig_language_str_mv eng
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 Artículo
Artículo
publishedVersion
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
publishDate 2003
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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