4 papers
Isomorphisms between quantum generalized Weyl algebras
Lionel Richard, Andrea Solotar
We study isomorphisms between generalized Weyl algebras, giving a complete answer to the quantum case of this problem for R=k[h].
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…
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…
Cohomology of split algebras and of trivial extensions
Claude Cibils, Eduardo Marcos, Maria Julia Redondo +1
We consider associative algebras L over a field provided with a direct sum decomposition of a two-sided ideal M and a sub-algebra A - examples are provided by trivial extensions or…