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On the Hochschild cohomology of tame Hecke algebras

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Abstract

We explicitly calculate a projective bimodule resolution for a special biserial algebra giving rise to the Hecke algebra \({{\mathcal H}_q(S_4)}\) when q = −1. We then determine the dimensions of the Hochschild cohomology groups.

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Authors and Affiliations

  1. Mathematical Institute, University of Oxford, 24-29 St. Giles’, Oxford, OX1 3LB, UK

    Karin Erdmann

  2. Department of Mathematics, University of Leicester, University Road, Leicester, LE1 7RH, UK

    Sibylle Schroll

Authors
  1. Karin Erdmann
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  2. Sibylle Schroll
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Corresponding author

Correspondence to Sibylle Schroll.

Additional information

The second author acknowledges support through an EPSRC Postdoctoral Fellowship EP/D077656/1 as well as through a Leverhulme Early Career Fellowship.

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Erdmann, K., Schroll, S. On the Hochschild cohomology of tame Hecke algebras. Arch. Math. 94, 117–127 (2010). https://doi.org/10.1007/s00013-009-0074-8

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  • DOI: https://doi.org/10.1007/s00013-009-0074-8

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