On the Hochschild cohomology of tame Hecke algebras
Karin Erdmann, Sibylle Schroll
TL;DR
This paper computes the Hochschild cohomology of a specific tame Hecke algebra related to S_4, providing explicit resolutions and dimension results for the cohomology groups.
Contribution
It offers the first explicit projective bimodule resolution for this class of special biserial algebras and calculates their Hochschild cohomology dimensions.
Findings
Explicit bimodule resolution for the algebra when q=-1
Dimensions of Hochschild cohomology groups determined
Provides tools for further algebraic and representation-theoretic analysis
Abstract
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons