The Hochschild cohomology groups are computed for algebras of semidihedral type, which are contained in the family SD(2ℬ)2(k, t, c) (from the famous K. Erdmann’s classification) in the case where k = 1. In the calculation, the beforehand construction of the minimal bimodule resolution for algebras from the subfamily under discussion is used.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 452, 2016, pp. 52–69.
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Generalov, A.I. Hochschild Cohomology for Algebras of Semidihedral Type. VII. Algebras with a Small Parameter. J Math Sci 232, 622–634 (2018). https://doi.org/10.1007/s10958-018-3893-y
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DOI: https://doi.org/10.1007/s10958-018-3893-y