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:	Di Luigi, C., Guccione, J.A., Guccione, J.J.
Formato:	JOUR
Materias:	Crossed products Hopf algebras
Acceso en línea:	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	todo:paper_00927872_v32_n9_p3563_DiLuigi
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spelling	todo:paper_00927872_v32_n9_p3563_DiLuigi2023-10-03T14:55:14Z Brzezinski's crossed products and braided Hopf crossed products Di Luigi, C. Guccione, J.A. Guccione, J.J. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Di Luigi, C. Guccione, J.A. Guccione, J.J. 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.
format	JOUR
author	Di Luigi, C. Guccione, J.A. Guccione, J.J.
author_facet	Di Luigi, C. Guccione, J.A. Guccione, J.J.
author_sort	Di Luigi, C.
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
url	http://hdl.handle.net/20.500.12110/paper_00927872_v32_n9_p3563_DiLuigi
work_keys_str_mv	AT diluigic brzezinskiscrossedproductsandbraidedhopfcrossedproducts AT guccioneja brzezinskiscrossedproductsandbraidedhopfcrossedproducts AT guccionejj brzezinskiscrossedproductsandbraidedhopfcrossedproducts
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Brzezinski's crossed products and braided Hopf crossed products

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