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, Jorge Alberto, Guccione, Juan José
Publicado: 2003
Materias:
Crossed products
Hopf algebra
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v261_n1_p54_Guccione
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 paper:paper_00218693_v261_n1_p54_Guccione
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spelling paper:paper_00218693_v261_n1_p54_Guccione2023-06-08T14:42:21Z Theory of braided Hopf crossed products Guccione, Jorge Alberto Guccione, Juan José 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v261_n1_p54_Guccione 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, Jorge Alberto
Guccione, Juan José
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.
author Guccione, Jorge Alberto
Guccione, Juan José
author_facet Guccione, Jorge Alberto
Guccione, Juan José
author_sort Guccione, Jorge Alberto
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v261_n1_p54_Guccione
http://hdl.handle.net/20.500.12110/paper_00218693_v261_n1_p54_Guccione
work_keys_str_mv AT guccionejorgealberto theoryofbraidedhopfcrossedproducts
AT guccionejuanjose theoryofbraidedhopfcrossedproducts
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