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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Autores principales: Herscovich, E., Solotar, A., Suárez-Álvarez, M.
Formato: JOUR
Materias:
Deformation theory
Hochschild cohomology
Koszul algebras
Acceso en línea: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
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spelling todo:paper_16616952_v8_n2_p505_Herscovich2023-10-03T16:28:41Z PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras Herscovich, E. Solotar, A. Suárez-Álvarez, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Herscovich, E.
Solotar, A.
Suárez-Álvarez, M.
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.
format JOUR
author Herscovich, E.
Solotar, A.
Suárez-Álvarez, M.
author_facet Herscovich, E.
Solotar, A.
Suárez-Álvarez, M.
author_sort Herscovich, E.
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
url http://hdl.handle.net/20.500.12110/paper_16616952_v8_n2_p505_Herscovich
work_keys_str_mv AT herscoviche pbwdeformationsanddeformationsalagerstenhaberofnkoszulalgebras
AT solotara pbwdeformationsanddeformationsalagerstenhaberofnkoszulalgebras
AT suarezalvarezm pbwdeformationsanddeformationsalagerstenhaberofnkoszulalgebras
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