Bounds for Hochschild cohomology of block algebras

Radha Kessar and Markus Linckelmann

December 14, 2010

Abstract

We show that for any block algebra B of a finite group over an algebraically closed field
of prime characteristic p the dimension of HH*(B) is bounded by a function depending only
on the nonnegative integer n and the defect of B. The proof uses in particular a theorem of
Brauer and Feit which implies the result for n=0.