𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hochschild cohomology of Möbius algebras

✍ Scribed by M. A. Kachalova

Publisher
Springer US
Year
2007
Tongue
English
Weight
308 KB
Volume
140
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Hochschild Cohomology of Triangular Matr
Hochschild Cohomology of Triangular Matrix Algebras
✍ Sandra Michelena; Marı́a Inés Platzeck 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 176 KB

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. ᮊ

On Hochschild Cohomology of Preprojectiv
On Hochschild Cohomology of Preprojective Algebras, II
✍ 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
On Hochschild Cohomology of Preprojective Algebras, I
✍ 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.

Finite Dimensional Algebras with Vanishi
Finite Dimensional Algebras with Vanishing Hochschild Cohomology
✍ S. Gastaminza; J.A. de la Peña; M.I. Platzeck; M.J. Redondo; S. Trepode 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 144 KB

He thanks M. I. Platzeck, her colleagues, and her students for their hospitality. We thankfully acknowledge support of Fundacion Antorchas, Argentina, DGAPA, ÚNAM, and CONACyT, Mexico.