We begin by constructing Hecke algebras for arbitrary finite regular monoids M. We then show that the semisimplicity of the complex monoid algebra ރ M is equivalent to the semisimplicity of the associated Hecke algebras and a condition on induced group characters. We apply these results to finite
André–Quillen Cohomology of Monoid Algebras
✍ Scribed by Klaus Altmann; Arne B. Sletsjøe
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 101 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
The best results are obtained either in the general case for the first three cohomology groups, or in the case of isolated singularities for all cohomology groups, respectively.
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