On conformal bialgebras

We study conformal algebras from the point of view of conformal dual of classical Lie coalgebra structures. We define the notions of Lie conformal coalgebra and bialgebra. We obtain a conformal analog of the CYBE, the Manin triples and Drinfeld's double. With the definition of vertex duals, we...

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Detalles Bibliográficos
Autor: Liberati, Jose Ignacio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/230891
Acceso en línea:http://hdl.handle.net/11336/230891
Access Level:acceso abierto
Palabra clave:Lie bialgebra
Lie conformal algebra
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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spelling On conformal bialgebrasLiberati, Jose IgnacioLie bialgebraLie conformal algebrahttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study conformal algebras from the point of view of conformal dual of classical Lie coalgebra structures. We define the notions of Lie conformal coalgebra and bialgebra. We obtain a conformal analog of the CYBE, the Manin triples and Drinfeld's double. With the definition of vertex duals, we obtain a natural description of the Lie algebra associated to a conformal algebra as a convolution algebra, clarifying the classical constructions in the theory of conformal algebras and vertex algebras.Fil: Liberati, Jose Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaAcademic Press Inc Elsevier Science2008-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/230891Liberati, Jose Ignacio; On conformal bialgebras; Academic Press Inc Elsevier Science; Journal of Algebra; 319; 6; 12-2008; 2295-23180021-8693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0021869307006679info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2007.11.031info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:24:04Zoai:ri.conicet.gov.ar:11336/230891instacron: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:34982024-05-08 14:24:04.489CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On conformal bialgebras
title On conformal bialgebras
spellingShingle On conformal bialgebras
Liberati, Jose Ignacio
Lie bialgebra
Lie conformal algebra
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short On conformal bialgebras
title_full On conformal bialgebras
title_fullStr On conformal bialgebras
title_full_unstemmed On conformal bialgebras
title_sort On conformal bialgebras
dc.creator.none.fl_str_mv Liberati, Jose Ignacio
author Liberati, Jose Ignacio
author_facet Liberati, Jose Ignacio
author_role author
dc.subject.none.fl_str_mv Lie bialgebra
Lie conformal algebra
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic Lie bialgebra
Lie conformal algebra
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description We study conformal algebras from the point of view of conformal dual of classical Lie coalgebra structures. We define the notions of Lie conformal coalgebra and bialgebra. We obtain a conformal analog of the CYBE, the Manin triples and Drinfeld's double. With the definition of vertex duals, we obtain a natural description of the Lie algebra associated to a conformal algebra as a convolution algebra, clarifying the classical constructions in the theory of conformal algebras and vertex algebras.
publishDate 2008
dc.date.none.fl_str_mv 2008-12
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/11336/230891
Liberati, Jose Ignacio; On conformal bialgebras; Academic Press Inc Elsevier Science; Journal of Algebra; 319; 6; 12-2008; 2295-2318
0021-8693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/230891
identifier_str_mv Liberati, Jose Ignacio; On conformal bialgebras; Academic Press Inc Elsevier Science; Journal of Algebra; 319; 6; 12-2008; 2295-2318
0021-8693
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0021869307006679
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2007.11.031
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
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 15,812455

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