|
Zapiski Nauchnykh Seminarov POMI, 2013, Volume 413, Pages 45–92
(Mi znsl5659)
|
|
|
|
This article is cited in 12 scientific papers (total in 12 papers)
Hochschild cohomology for algebras of semidihedral type. IV. The cohomology algebra for the family $SD(2\mathcal B)_2(k,t,c)$ in the case $c=0$
A. I. Generalov St. Petersburg State University, St. Petersburg, Russia
Abstract:
The paper continues the previous author's paper in which the bimodule resolution was constructed for algebras of semidihedral type from the family $SD(2\mathcal B)_2$. In the present paper, using this resolution we describe a multiplicative structure of the Hochschild cohomology algebra for algebras in the mentioned family over a base field of characteristic 2 under an additional assumption that the parameter $c$ containing in the defining relations of the algebras is equal to zero.
Key words and phrases:
Hochschild cohomology algebra, algebras of semidihedral type, bimodule resolution.
Received: 21.03.2013
Citation:
A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. IV. The cohomology algebra for the family $SD(2\mathcal B)_2(k,t,c)$ in the case $c=0$”, Problems in the theory of representations of algebras and groups. Part 24, Zap. Nauchn. Sem. POMI, 413, POMI, St. Petersburg, 2013, 45–92; J. Math. Sci. (N. Y.), 202:3 (2014), 360–394
Linking options:
https://www.mathnet.ru/eng/znsl5659 https://www.mathnet.ru/eng/znsl/v413/p45
|
Statistics & downloads: |
Abstract page: | 325 | Full-text PDF : | 66 | References: | 61 |
|