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math.KT2002
G-Structure on the cohomology of Hopf algebras
M. Farinati, A. Solotar
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 t…
math.KT2001
Hochschild homology and cohomology of generalized Weyl algebras
Marco A. Farinati, Andrea L. Solotar, Mariano Suarez-Alvarez
We compute Hochschild homology and cohomology of a class of generalized Weyl algebras (for short GWA, defined by Bavula in St.Petersbourg Math. Journal 1999 4(1) pp. 71-90). Exampl…
math.KT2000
On the derived invariance of cohomology theories for coalgebras
Marco A. Farinati
We study the derived invariance of the cohomology theories , and associated to coalgebras over a field. We prove a theorem characterizing derived equivalences.…