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arxiv: 0906.1924 · v3 · submitted 2009-06-10 · 🧮 math.RT

On the Hochschild cohomology of tame Hecke algebras

classification 🧮 math.RT
keywords algebracohomologyheckehochschildalgebrasbimodulebiserialcalculate
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We explicitly calculate a projective bimodule resolution for a special biserial algebra giving rise to the Hecke algebra H_q(S_4) when q=-1. We then determine the dimensions of the Hochschild cohomology groups.

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