Cohomology of vertex algebras

Autores
Liberati, Jose Ignacio
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let V be a vertex algebra and M a V-module. We define the first and second cohomology of V with coefficients in M, and we show that the second cohomology H2(V,M) corresponds bijectively to the set of equivalence classes of square-zero extensions of V by M. In the case that M=V, we show that the second cohomology H2(V,V) corresponds bijectively to the set of equivalence classes of first order deformations of V.
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; Argentina
Materia
COHOMOLOGY
VERTEX ALGEBRA
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/186010
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Cohomology of vertex algebrasLiberati, Jose IgnacioCOHOMOLOGYVERTEX ALGEBRAhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let V be a vertex algebra and M a V-module. We define the first and second cohomology of V with coefficients in M, and we show that the second cohomology H2(V,M) corresponds bijectively to the set of equivalence classes of square-zero extensions of V by M. In the case that M=V, we show that the second cohomology H2(V,V) corresponds bijectively to the set of equivalence classes of first order deformations of V.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 Science2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/186010Liberati, Jose Ignacio; Cohomology of vertex algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 472; 6-2017; 259-2720021-8693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2016.09.031info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869316303799info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:48:13Zoai:ri.conicet.gov.ar:11336/186010instacron: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:34982025-10-22 11:48:14.152CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Cohomology of vertex algebras
title Cohomology of vertex algebras
spellingShingle Cohomology of vertex algebras
Liberati, Jose Ignacio
COHOMOLOGY
VERTEX ALGEBRA
title_short Cohomology of vertex algebras
title_full Cohomology of vertex algebras
title_fullStr Cohomology of vertex algebras
title_full_unstemmed Cohomology of vertex algebras
title_sort Cohomology of vertex algebras
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 COHOMOLOGY
VERTEX ALGEBRA
topic COHOMOLOGY
VERTEX ALGEBRA
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let V be a vertex algebra and M a V-module. We define the first and second cohomology of V with coefficients in M, and we show that the second cohomology H2(V,M) corresponds bijectively to the set of equivalence classes of square-zero extensions of V by M. In the case that M=V, we show that the second cohomology H2(V,V) corresponds bijectively to the set of equivalence classes of first order deformations of V.
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; Argentina
description Let V be a vertex algebra and M a V-module. We define the first and second cohomology of V with coefficients in M, and we show that the second cohomology H2(V,M) corresponds bijectively to the set of equivalence classes of square-zero extensions of V by M. In the case that M=V, we show that the second cohomology H2(V,V) corresponds bijectively to the set of equivalence classes of first order deformations of V.
publishDate 2017
dc.date.none.fl_str_mv 2017-06
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/11336/186010
Liberati, Jose Ignacio; Cohomology of vertex algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 472; 6-2017; 259-272
0021-8693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/186010
identifier_str_mv Liberati, Jose Ignacio; Cohomology of vertex algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 472; 6-2017; 259-272
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/doi/10.1016/j.jalgebra.2016.09.031
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869316303799
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
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
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 12.982451

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