Abstract:
We describe in terms of generators and relations the Hochschild cohomology algebra for a family of local algebras of semidihedral type over the ground field that has the characteristic not equal to 2. In the corresponding calculations, we use the free bimodule resolution which was constructed in the another author's paper. Bibl. 22 titles.
Key words and phrases:
algebras of semidihedral type, Hochschild cohomology.
Citation:
A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type, II. Local algebras”, Problems in the theory of representations of algebras and groups. Part 20, Zap. Nauchn. Sem. POMI, 386, POMI, St. Petersburg, 2011, 144–202; J. Math. Sci. (N. Y.), 180:3 (2012), 278–314
\Bibitem{Gen11}
\by A.~I.~Generalov
\paper Hochschild cohomology for algebras of semidihedral type,~II. Local algebras
\inbook Problems in the theory of representations of algebras and groups. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 386
\pages 144--202
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3911}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 180
\issue 3
\pages 278--314
\crossref{https://doi.org/10.1007/s10958-011-0644-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855645325}
Citation in format AMSBIB
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