Abstract:
For local algebras which constitute a family of algebras of dihedral type, we calculate the Hochschild cohomology in the case where the base algebraically closed field has a characteristic different from 2. Furthermore, we give a description of the Hochschild cohomology algebra (in terms of generators and relations) for the local algebras under consideration. We use in the corresponding calculation a beforehand constructed bimodule resolution for these algebras. Bibl. – 19 titles.
Key words and phrases:
Hochschild cohomology, algebras of dihedral type, local algebras.
Citation:
A. I. Generalov, “Hochschild cohomology of algebras of dihedral type. II. Local algebras”, Problems in the theory of representations of algebras and groups. Part 19, Zap. Nauchn. Sem. POMI, 375, POMI, St. Petersburg, 2010, 92–129; J. Math. Sci. (N. Y.), 171:3 (2010), 357–379
\Bibitem{Gen10}
\by A.~I.~Generalov
\paper Hochschild cohomology of algebras of dihedral type.~II. Local algebras
\inbook Problems in the theory of representations of algebras and groups. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 375
\pages 92--129
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3610}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 171
\issue 3
\pages 357--379
\crossref{https://doi.org/10.1007/s10958-010-0141-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649451595}
Citation in format AMSBIB
Contact us: