G-Structure on the cohomology of Hopf algebras
K-Theory and Homology
2007-05-23 v1
Abstract
We prove that Ext^*_A(k,k) is a Gerstenhaber algebra, where A is a Hopf algebra. In case A=D(H) is the Drinfeld double of a finite dimensional Hopf algebra H, our results implies the existence of a Gerstenhaber bracket on H^*_{GS}(H,H). This fact was conjectured by R. Taillefer in math.KT0207154. The method consists in identifying Ext^*_A(k,k) as a Gerstenhaber subalgebra of H^*(A,A) (the Hochschild cohomology of A).
Cite
@article{arxiv.math/0207243,
title = {G-Structure on the cohomology of Hopf algebras},
author = {M. Farinati and A. Solotar},
journal= {arXiv preprint arXiv:math/0207243},
year = {2007}
}
Comments
5 pages