Brzeziński's Crossed Products and Braided Hopf Crossed Products
- Autores
- Di Luigi, Constanza; Guccione, Jorge Alberto; Guccione, Juan Jose
- Año de publicación
- 2004
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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 Brzezinski. In this paper we give a suficient condition for a Brzeziński'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.
Fil: Di Luigi, Constanza. No especifíca;
Fil: Guccione, Jorge Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Guccione, Juan Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina - Materia
-
HOPF ALGEBRAS
CROSSED PRODUCTS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/109857
Ver los metadatos del registro completo
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Brzeziński's Crossed Products and Braided Hopf Crossed ProductsDi Luigi, ConstanzaGuccione, Jorge AlbertoGuccione, Juan JoseHOPF ALGEBRASCROSSED PRODUCTShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Recently, 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 Brzezinski. In this paper we give a suficient condition for a Brzeziński'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.Fil: Di Luigi, Constanza. No especifíca; Fil: Guccione, Jorge Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Guccione, Juan Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaTaylor & Francis2004-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/109857Di Luigi, Constanza; Guccione, Jorge Alberto; Guccione, Juan Jose; Brzeziński's Crossed Products and Braided Hopf Crossed Products; Taylor & Francis; Communications In Algebra; 32; 9; 12-2004; 3563-35800092-7872CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1081/AGB-120039631info:eu-repo/semantics/altIdentifier/doi/10.1081/AGB-120039631info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:34:28Zoai:ri.conicet.gov.ar:11336/109857instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:34:28.648CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Brzeziński's Crossed Products and Braided Hopf Crossed Products |
title |
Brzeziński's Crossed Products and Braided Hopf Crossed Products |
spellingShingle |
Brzeziński's Crossed Products and Braided Hopf Crossed Products Di Luigi, Constanza HOPF ALGEBRAS CROSSED PRODUCTS |
title_short |
Brzeziński's Crossed Products and Braided Hopf Crossed Products |
title_full |
Brzeziński's Crossed Products and Braided Hopf Crossed Products |
title_fullStr |
Brzeziński's Crossed Products and Braided Hopf Crossed Products |
title_full_unstemmed |
Brzeziński's Crossed Products and Braided Hopf Crossed Products |
title_sort |
Brzeziński's Crossed Products and Braided Hopf Crossed Products |
dc.creator.none.fl_str_mv |
Di Luigi, Constanza Guccione, Jorge Alberto Guccione, Juan Jose |
author |
Di Luigi, Constanza |
author_facet |
Di Luigi, Constanza Guccione, Jorge Alberto Guccione, Juan Jose |
author_role |
author |
author2 |
Guccione, Jorge Alberto Guccione, Juan Jose |
author2_role |
author author |
dc.subject.none.fl_str_mv |
HOPF ALGEBRAS CROSSED PRODUCTS |
topic |
HOPF ALGEBRAS CROSSED PRODUCTS |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
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 Brzezinski. In this paper we give a suficient condition for a Brzeziński'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. Fil: Di Luigi, Constanza. No especifíca; Fil: Guccione, Jorge Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina Fil: Guccione, Juan Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina |
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 Brzezinski. In this paper we give a suficient condition for a Brzeziński'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. |
publishDate |
2004 |
dc.date.none.fl_str_mv |
2004-12 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/109857 Di Luigi, Constanza; Guccione, Jorge Alberto; Guccione, Juan Jose; Brzeziński's Crossed Products and Braided Hopf Crossed Products; Taylor & Francis; Communications In Algebra; 32; 9; 12-2004; 3563-3580 0092-7872 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/109857 |
identifier_str_mv |
Di Luigi, Constanza; Guccione, Jorge Alberto; Guccione, Juan Jose; Brzeziński's Crossed Products and Braided Hopf Crossed Products; Taylor & Francis; Communications In Algebra; 32; 9; 12-2004; 3563-3580 0092-7872 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1081/AGB-120039631 info:eu-repo/semantics/altIdentifier/doi/10.1081/AGB-120039631 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Taylor & Francis |
publisher.none.fl_str_mv |
Taylor & Francis |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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13.070432 |