Bounds for Hochschild cohomology of block algebras

Details Bounds for Hochschild cohomology of block algebras Bounds for Hochschild cohomology of block algebras

2010-12-16

arxiv.org/abs/1012.3558v1

Mathematics

Representation Theory

6 pages

Scientific paper

We show that for any block algebra B of a finite group over an algebraically
closed field of prime characteristic the dimension of HH^n(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.

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