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The Hochschild cohomology ring of preprojective algebras of type

✍ Scribed by Andreu Juan, Estefanía


Book ID
123194753
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
497 KB
Volume
217
Category
Article
ISSN
0022-4049

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On Hochschild Cohomology of Preprojectiv
✍ Karin Erdmann; Nicole Snashall 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 273 KB

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 Preprojectiv
✍ Karin Erdmann; Nicole Snashall 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 268 KB

We study the Hochschild cohomology of a finite-dimensional preprojective algebra ⌳; this is periodic by a result of Schofield. In particular, for ⌳ of type A , n we obtain the dimensions and explicit characterizations and bases for all Hochschild cohomology groups.