๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Hochschild cohomologies for associative conformal algebras

โœ Scribed by I. A. Dolguntseva


Publisher
Springer US
Year
2007
Tongue
English
Weight
211 KB
Volume
46
Category
Article
ISSN
0002-5232

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Hochschild Cohomology of Triangular Matr
โœ Sandra Michelena; Marฤฑฬa Inรฉs Platzeck ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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. แฎŠ

Composition-Diamond Lemma for associativ
โœ L.A. Bokut; Y. Fong; W.-F. Ke ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 427 KB

We prove the Composition-Diamond Lemma for associative conformal algebras. As some corollaries, we prove that the word problem for some homogeneous associative conformal algebras is solvable, while it is unsolvable in general.

On Hochschild Cohomology of Preprojectiv
โœ Karin Erdmann; Nicole Snashall ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.