Braided module and comodule algebras, Galois extensions and elements of trace 1

Let k be a field and let H be a rigid braided Hopf k-algebra. In this paper we continue the study of the theory of braided Hopf crossed products began in [J.A. Guccione, J.J. Guccione, Theory of braided Hopf crossed products, J. Algebra 261 (2003) 54-101]. First we show that to have an H-braided com...

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Autores principales: Guccione, Jorge Alberto, Guccione, Juan José
Publicado: 2007
Materias:
Braided Hopf algebras
Crossed products
Galois extensions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v307_n2_p727_DaRocha
http://hdl.handle.net/20.500.12110/paper_00218693_v307_n2_p727_DaRocha
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00218693_v307_n2_p727_DaRocha
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spelling paper:paper_00218693_v307_n2_p727_DaRocha2023-06-08T14:42:23Z Braided module and comodule algebras, Galois extensions and elements of trace 1 Guccione, Jorge Alberto Guccione, Juan José Braided Hopf algebras Crossed products Galois extensions Let k be a field and let H be a rigid braided Hopf k-algebra. In this paper we continue the study of the theory of braided Hopf crossed products began in [J.A. Guccione, J.J. Guccione, Theory of braided Hopf crossed products, J. Algebra 261 (2003) 54-101]. First we show that to have an H-braided comodule algebra is the same that to have an H†-braided module algebra, where H† is a variant of H*, and then we study the maps [,] and (,), that appear in the Morita context introduced in the above cited paper. © 2006. 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. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v307_n2_p727_DaRocha http://hdl.handle.net/20.500.12110/paper_00218693_v307_n2_p727_DaRocha
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Braided Hopf algebras
Crossed products
Galois extensions
spellingShingle Braided Hopf algebras
Crossed products
Galois extensions
Guccione, Jorge Alberto
Guccione, Juan José
Braided module and comodule algebras, Galois extensions and elements of trace 1
topic_facet Braided Hopf algebras
Crossed products
Galois extensions
description Let k be a field and let H be a rigid braided Hopf k-algebra. In this paper we continue the study of the theory of braided Hopf crossed products began in [J.A. Guccione, J.J. Guccione, Theory of braided Hopf crossed products, J. Algebra 261 (2003) 54-101]. First we show that to have an H-braided comodule algebra is the same that to have an H†-braided module algebra, where H† is a variant of H*, and then we study the maps [,] and (,), that appear in the Morita context introduced in the above cited paper. © 2006.
author Guccione, Jorge Alberto
Guccione, Juan José
author_facet Guccione, Jorge Alberto
Guccione, Juan José
author_sort Guccione, Jorge Alberto
title Braided module and comodule algebras, Galois extensions and elements of trace 1
title_short Braided module and comodule algebras, Galois extensions and elements of trace 1
title_full Braided module and comodule algebras, Galois extensions and elements of trace 1
title_fullStr Braided module and comodule algebras, Galois extensions and elements of trace 1
title_full_unstemmed Braided module and comodule algebras, Galois extensions and elements of trace 1
title_sort braided module and comodule algebras, galois extensions and elements of trace 1
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v307_n2_p727_DaRocha
http://hdl.handle.net/20.500.12110/paper_00218693_v307_n2_p727_DaRocha
work_keys_str_mv AT guccionejorgealberto braidedmoduleandcomodulealgebrasgaloisextensionsandelementsoftrace1
AT guccionejuanjose braidedmoduleandcomodulealgebrasgaloisextensionsandelementsoftrace1
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