On the Hochschild cohomology of tame Hecke algebras

2009/06/10 by Erdmann, Karin, Schroll, Sibylle
#16E10 #16E40 #20C08 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0906.1924

Abstract

We explicitly calculate a projective bimodule resolution for a special biserial algebra giving rise to the Hecke algebra H_q(S₄) when q=-1. We then determine the dimensions of the Hochschild cohomology groups.

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• Hochschild cohomology and support varieties for tame Hecke algebras
• Vanishing of the Hochschild cohomology for some self-injective special biserial algebra of rank four
• The Hochschild cohomology ring of a class of special biserial algebras
• Hochschild (co)homology of exterior algebras