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
Publicado: 2003
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v261_n1_p54_Guccione
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v261_n1_p54_Guccione_oai
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spelling I28-R145-paper_00218693_v261_n1_p54_Guccione_oai2020-10-19 Guccione, J.A. Guccione, J.J. 2003 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00218693_v261_n1_p54_Guccione info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Algebra 2003;261(1):54-101 Crossed products Hopf algebra Theory of braided Hopf crossed products info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v261_n1_p54_Guccione_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (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 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
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v261_n1_p54_Guccione_oai
work_keys_str_mv AT guccioneja theoryofbraidedhopfcrossedproducts
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