G-Structure on the cohomology of Hopf algebras
M. Farinati, A. Solotar
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).
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