Brzezinski's crossed products and braided Hopf crossed products

Recently, we introduced a notion of braided Hopf crossed product which generalizes the notion of classical Hopf crossed product defined independently by Blattner, Cohen and Montgomery and by Doi and Takeuchi. A very much general concept of crossed product is indebted to Brzeziriski. In this paper, w...

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Detalles Bibliográficos
Autores principales: Guccione, Jorge Alberto, Guccione, Juan José
Publicado: 2004
Materias:
Crossed products
Hopf algebras
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v32_n9_p3563_DiLuigi
http://hdl.handle.net/20.500.12110/paper_00927872_v32_n9_p3563_DiLuigi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00927872_v32_n9_p3563_DiLuigi
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spelling paper:paper_00927872_v32_n9_p3563_DiLuigi2023-06-08T15:08:20Z Brzezinski's crossed products and braided Hopf crossed products Guccione, Jorge Alberto Guccione, Juan José Crossed products Hopf algebras Recently, we introduced a notion of braided Hopf crossed product which generalizes the notion of classical Hopf crossed product defined independently by Blattner, Cohen and Montgomery and by Doi and Takeuchi. A very much general concept of crossed product is indebted to Brzeziriski. In this paper, we give a sufficient condition for a Brzezinski's crossed product be a braided Hopf crossed product. Majid prove that the quantum double of a quasitriangular Hopf algebra is isomorphic to a classical Hopf crossed product. As an application of our result we obtain a generalization of Majid's Theorem. Copyright © 2004 by Marcel Dekker, Inc. 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. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v32_n9_p3563_DiLuigi http://hdl.handle.net/20.500.12110/paper_00927872_v32_n9_p3563_DiLuigi
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 algebras
spellingShingle Crossed products
Hopf algebras
Guccione, Jorge Alberto
Guccione, Juan José
Brzezinski's crossed products and braided Hopf crossed products
topic_facet Crossed products
Hopf algebras
description Recently, we introduced a notion of braided Hopf crossed product which generalizes the notion of classical Hopf crossed product defined independently by Blattner, Cohen and Montgomery and by Doi and Takeuchi. A very much general concept of crossed product is indebted to Brzeziriski. In this paper, we give a sufficient condition for a Brzezinski's crossed product be a braided Hopf crossed product. Majid prove that the quantum double of a quasitriangular Hopf algebra is isomorphic to a classical Hopf crossed product. As an application of our result we obtain a generalization of Majid's Theorem. Copyright © 2004 by Marcel Dekker, Inc.
author Guccione, Jorge Alberto
Guccione, Juan José
author_facet Guccione, Jorge Alberto
Guccione, Juan José
author_sort Guccione, Jorge Alberto
title Brzezinski's crossed products and braided Hopf crossed products
title_short Brzezinski's crossed products and braided Hopf crossed products
title_full Brzezinski's crossed products and braided Hopf crossed products
title_fullStr Brzezinski's crossed products and braided Hopf crossed products
title_full_unstemmed Brzezinski's crossed products and braided Hopf crossed products
title_sort brzezinski's crossed products and braided hopf crossed products
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v32_n9_p3563_DiLuigi
http://hdl.handle.net/20.500.12110/paper_00927872_v32_n9_p3563_DiLuigi
work_keys_str_mv AT guccionejorgealberto brzezinskiscrossedproductsandbraidedhopfcrossedproducts
AT guccionejuanjose brzezinskiscrossedproductsandbraidedhopfcrossedproducts
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