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.
On Hochschild Cohomology of Preprojective Algebras, I
โ Scribed by Karin Erdmann; Nicole Snashall
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 268 KB
- Volume
- 205
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
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.
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