Universal deformation formulas and braided module algebras
Rings and Algebras
2010-09-13 v2 K-Theory and Homology
Abstract
We study formal deformations of a crossed product S(V)#_f G, 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 nontrivial in the characteristic free context, even if 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)#_f G.
Cite
@article{arxiv.0912.3159,
title = {Universal deformation formulas and braided module algebras},
author = {Jorge A. Guccione and Juan J. Guccione and Christian Valqui},
journal= {arXiv preprint arXiv:0912.3159},
year = {2010}
}
Comments
31 pages. We fix a mistake in the references