Universal deformation formulas and braided module algebras

We study formal deformations of a crossed product S(V)#fG, of a polynomial algebra with a group, induced from a universal deformation formula introduced by Witherspoon. These deformations arise from braided actions of Hopf algebras generated by automorphisms and skew derivations. We show that they a...

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Autores principales: Guccione, Jorge Alberto, Guccione, Juan José
Publicado: 2011
Materias:
Crossed product
Deformation
Hochschild cohomology
Primary
Secondary
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v330_n1_p263_Guccione
http://hdl.handle.net/20.500.12110/paper_00218693_v330_n1_p263_Guccione
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00218693_v330_n1_p263_Guccione
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spelling paper:paper_00218693_v330_n1_p263_Guccione2023-06-08T14:42:25Z Universal deformation formulas and braided module algebras Guccione, Jorge Alberto Guccione, Juan José Crossed product Deformation Hochschild cohomology Primary Secondary We study formal deformations of a crossed product S(V)#fG, of a polynomial algebra with a group, induced from a universal deformation formula introduced by Witherspoon. These deformations arise from braided actions of Hopf algebras generated by automorphisms and skew derivations. We show that they are non-trivial in the characteristic free context, even if G is infinite, by showing that their infinitesimals are not coboundaries. For this we construct a new complex which computes the Hochschild cohomology of S(V)#fG. © 2011 Elsevier Inc. Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v330_n1_p263_Guccione http://hdl.handle.net/20.500.12110/paper_00218693_v330_n1_p263_Guccione
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Crossed product
Deformation
Hochschild cohomology
Primary
Secondary
spellingShingle Crossed product
Deformation
Hochschild cohomology
Primary
Secondary
Guccione, Jorge Alberto
Guccione, Juan José
Universal deformation formulas and braided module algebras
topic_facet Crossed product
Deformation
Hochschild cohomology
Primary
Secondary
description We study formal deformations of a crossed product S(V)#fG, of a polynomial algebra with a group, induced from a universal deformation formula introduced by Witherspoon. These deformations arise from braided actions of Hopf algebras generated by automorphisms and skew derivations. We show that they are non-trivial in the characteristic free context, even if G is infinite, by showing that their infinitesimals are not coboundaries. For this we construct a new complex which computes the Hochschild cohomology of S(V)#fG. © 2011 Elsevier Inc.
author Guccione, Jorge Alberto
Guccione, Juan José
author_facet Guccione, Jorge Alberto
Guccione, Juan José
author_sort Guccione, Jorge Alberto
title Universal deformation formulas and braided module algebras
title_short Universal deformation formulas and braided module algebras
title_full Universal deformation formulas and braided module algebras
title_fullStr Universal deformation formulas and braided module algebras
title_full_unstemmed Universal deformation formulas and braided module algebras
title_sort universal deformation formulas and braided module algebras
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v330_n1_p263_Guccione
http://hdl.handle.net/20.500.12110/paper_00218693_v330_n1_p263_Guccione
work_keys_str_mv AT guccionejorgealberto universaldeformationformulasandbraidedmodulealgebras
AT guccionejuanjose universaldeformationformulasandbraidedmodulealgebras
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