Universal deformation formulas and braided module algebras

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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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Detalles Bibliográficos
Autores principales: Guccione, J.A., Guccione, J.J., Valqui, C.
Formato: JOUR
Materias:
Crossed product
Deformation
Hochschild cohomology
Primary
Secondary
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v330_n1_p263_Guccione
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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.

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