On the Hochschild cohomology of tame Hecke algebras
โ Scribed by Karin Erdmann; Sibylle Schroll
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 210 KB
- Volume
- 94
- Category
- Article
- ISSN
- 0003-889X
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๐ SIMILAR VOLUMES
We study the Hochschild cohomology of a finite-dimensional preprojective algebra; this is periodic by a result of A. Schofield. We determine the ring structure of the Hochschild cohomology ring given by the Yoneda product. As a result we obtain an explicit presentation by generators and relations.
We study the Hochschild cohomology of a finite-dimensional preprojective algebra โณ; this is periodic by a result of Schofield. In particular, for โณ of type A , n we obtain the dimensions and explicit characterizations and bases for all Hochschild cohomology groups.
We study the Hochschild cohomology of triangular matrix rings B s , where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact sequences of K-vector spaces relating the Hochschild cohomology of A, R, and B. แฎ