Hochschild cohomology and support varieties for tame Hecke algebras

Details Hochschild cohomology and support varieties for tame Hecke algebras Hochschild cohomology and support varieties for tame Hecke algebras

2009-07-20

arxiv.org/abs/0907.3435v1

Mathematics

Representation Theory

11 pages

Scientific paper

We give a basis for the Hochschild cohomology ring of tame Hecke algebras. We then show that the Hochschild cohomology ring modulo nilpotence is a finitely generated algebra of Krull dimension 2, and describe the support varieties of modules for these algebras. As a consequence we obtain the result that the Hochschild cohomology ring modulo nilpotence of a Hecke algebra has Krull dimension 1 if the algebra is of finite type and has Krull dimension 2 if the algebra is of tame type.

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