PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras

Autores
Herscovich Ramoneda, Estanislao Benito; Solotar, Andrea Leonor; Suárez-Alvarez, Mariano
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article we establish an explicit link between the classical theory of deformations à la Gerstenhaber (and a fortiori with the Hochschild cohomology) and (weak) PBW-deformations of homogeneous algebras. Our point of view is of cohomological nature. As a consequence, we recover a theorem by R. Berger and V. Ginzburg, which gives a precise condition for a filtered algebra to satisfy the so-called PBW property, under certain assumptions.
Fil: Herscovich Ramoneda, Estanislao Benito. Universitat Bielefeld; Alemania
Fil: Solotar, Andrea Leonor. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Suárez-Alvarez, Mariano. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Deformation Theory
Koszul Algebras
Hochschild Cohomology
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:11336/32182
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/32182
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebrasHerscovich Ramoneda, Estanislao BenitoSolotar, Andrea LeonorSuárez-Alvarez, MarianoDeformation TheoryKoszul AlgebrasHochschild Cohomologyhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article we establish an explicit link between the classical theory of deformations à la Gerstenhaber (and a fortiori with the Hochschild cohomology) and (weak) PBW-deformations of homogeneous algebras. Our point of view is of cohomological nature. As a consequence, we recover a theorem by R. Berger and V. Ginzburg, which gives a precise condition for a filtered algebra to satisfy the so-called PBW property, under certain assumptions.Fil: Herscovich Ramoneda, Estanislao Benito. Universitat Bielefeld; AlemaniaFil: Solotar, Andrea Leonor. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Suárez-Alvarez, Mariano. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaEuropean Mathematical Society2014-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/32182Herscovich Ramoneda, Estanislao Benito; Solotar, Andrea Leonor; Suárez-Alvarez, Mariano; PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras; European Mathematical Society; Journal of Noncommutative Geometry; 8; 2; 7-2014; 505-5391661-6952CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4171/JNCG/163info:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/journals/show_abstract.php?issn=1661-6952&vol=8&iss=2&rank=7info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:54:17Zoai:ri.conicet.gov.ar:11336/32182instacron: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:34982025-09-03 09:54:17.337CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
title PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
spellingShingle PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
Herscovich Ramoneda, Estanislao Benito
Deformation Theory
Koszul Algebras
Hochschild Cohomology
title_short PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
title_full PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
title_fullStr PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
title_full_unstemmed PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
title_sort PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
dc.creator.none.fl_str_mv Herscovich Ramoneda, Estanislao Benito
Solotar, Andrea Leonor
Suárez-Alvarez, Mariano
author Herscovich Ramoneda, Estanislao Benito
author_facet Herscovich Ramoneda, Estanislao Benito
Solotar, Andrea Leonor
Suárez-Alvarez, Mariano
author_role author
author2 Solotar, Andrea Leonor
Suárez-Alvarez, Mariano
author2_role author
author
dc.subject.none.fl_str_mv Deformation Theory
Koszul Algebras
Hochschild Cohomology
topic Deformation Theory
Koszul Algebras
Hochschild Cohomology
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this article we establish an explicit link between the classical theory of deformations à la Gerstenhaber (and a fortiori with the Hochschild cohomology) and (weak) PBW-deformations of homogeneous algebras. Our point of view is of cohomological nature. As a consequence, we recover a theorem by R. Berger and V. Ginzburg, which gives a precise condition for a filtered algebra to satisfy the so-called PBW property, under certain assumptions.
Fil: Herscovich Ramoneda, Estanislao Benito. Universitat Bielefeld; Alemania
Fil: Solotar, Andrea Leonor. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Suárez-Alvarez, Mariano. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In this article we establish an explicit link between the classical theory of deformations à la Gerstenhaber (and a fortiori with the Hochschild cohomology) and (weak) PBW-deformations of homogeneous algebras. Our point of view is of cohomological nature. As a consequence, we recover a theorem by R. Berger and V. Ginzburg, which gives a precise condition for a filtered algebra to satisfy the so-called PBW property, under certain assumptions.
publishDate 2014
dc.date.none.fl_str_mv 2014-07
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/11336/32182
Herscovich Ramoneda, Estanislao Benito; Solotar, Andrea Leonor; Suárez-Alvarez, Mariano; PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras; European Mathematical Society; Journal of Noncommutative Geometry; 8; 2; 7-2014; 505-539
1661-6952
CONICET Digital
CONICET
url http://hdl.handle.net/11336/32182
identifier_str_mv Herscovich Ramoneda, Estanislao Benito; Solotar, Andrea Leonor; Suárez-Alvarez, Mariano; PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras; European Mathematical Society; Journal of Noncommutative Geometry; 8; 2; 7-2014; 505-539
1661-6952
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4171/JNCG/163
info:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/journals/show_abstract.php?issn=1661-6952&vol=8&iss=2&rank=7
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 European Mathematical Society
publisher.none.fl_str_mv European Mathematical Society
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 13.13397

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