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

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....

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Detalles Bibliográficos
Autores principales: Solotar, Andrea Leonor, Suárez-Alvarez, Mariano
Publicado: 2014
Materias:
Deformation theory
Hochschild cohomology
Koszul algebras
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_16616952_v8_n2_p505_Herscovich
http://hdl.handle.net/20.500.12110/paper_16616952_v8_n2_p505_Herscovich
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_16616952_v8_n2_p505_Herscovich
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spelling paper:paper_16616952_v8_n2_p505_Herscovich2023-06-08T16:25:43Z PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras Solotar, Andrea Leonor Suárez-Alvarez, Mariano Deformation theory Hochschild cohomology Koszul algebras 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-calledPBWproperty, under certain assumptions. © European Mathematical Society. Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Suárez-Álvarez, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_16616952_v8_n2_p505_Herscovich http://hdl.handle.net/20.500.12110/paper_16616952_v8_n2_p505_Herscovich
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Deformation theory
Hochschild cohomology
Koszul algebras
spellingShingle Deformation theory
Hochschild cohomology
Koszul algebras
Solotar, Andrea Leonor
Suárez-Alvarez, Mariano
PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
topic_facet Deformation theory
Hochschild cohomology
Koszul algebras
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-calledPBWproperty, under certain assumptions. © European Mathematical Society.
author Solotar, Andrea Leonor
Suárez-Alvarez, Mariano
author_facet Solotar, Andrea Leonor
Suárez-Alvarez, Mariano
author_sort Solotar, Andrea Leonor
title PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
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
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_16616952_v8_n2_p505_Herscovich
http://hdl.handle.net/20.500.12110/paper_16616952_v8_n2_p505_Herscovich
work_keys_str_mv AT solotarandrealeonor pbwdeformationsanddeformationsalagerstenhaberofnkoszulalgebras
AT suarezalvarezmariano pbwdeformationsanddeformationsalagerstenhaberofnkoszulalgebras
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