The Hochschild cohomology groups are calculated for the algebras of semidihedral type that form the family \( SD\left(3\mathcal{K}\right) \) (from the famous K. Erdmann’s classification). In the calculation, the bimodule resolution previously constructed for the algebras belonging to the family under discussion is used.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 435, 2015, pp. 5–32.
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Generalov, A.I., Zilberbord, I.M. Hochschild Cohomology of Algebras of Semidihedral Type. V. The Family \( SD\left(3\mathcal{K}\right) \) . J Math Sci 219, 493–512 (2016). https://doi.org/10.1007/s10958-016-3122-5
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DOI: https://doi.org/10.1007/s10958-016-3122-5