Hochschild cohomology algebra is described in term of generators and relations for a family of local algebras of semidihedral type. This family appears in famous K. Erdmann’s classification only if the characteristic of the base field is equal to 2.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 500, 2021, pp. 51–111.
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Generalov, A.I. Hochschild Cohomology for Algebras of Semidihedral Type. X. Cohomology Algebra for the Exceptional Local Algebras. J Math Sci 272, 376–417 (2023). https://doi.org/10.1007/s10958-023-06432-y
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DOI: https://doi.org/10.1007/s10958-023-06432-y