Universal deformation formulas and braided module algebras

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

6 Citas (Scopus)

Resumen

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.

Idioma originalInglés
Páginas (desde-hasta)263-297
Número de páginas35
PublicaciónJournal of Algebra
Volumen330
N.º1
DOI
EstadoPublicada - 15 mar. 2011

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