Hochschild cohomology of q-Schur algebras

We compute the Hochschild cohomology of any block of q-Schur algebras. We focus the even part of this Hochschild cohomology ring. To compute the Hochschild cohomology of q-Schur algebras, we prove the following two results: first, we construct two graded algebra surjections between the Hochschild cohomologies of quasi-hereditary algebras because... Show more