Geodesic
Hochschild cohomology for algebras of dihedral type. X. Exceptional local algebras
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 39, Tome 522 (2023), pp. 60-83

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The Hochschild cohomology groups are computed for “exceptional” local algebras of dihedral type (from the famous K. Erdmann's classification) which appear when the base field has characteristic 2. In the calculation, we use the beforehand construction of the bimodule resolution for the algebras in question. 
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     author = {A. I. Generalov and I. M. Zilberbord and V. A. Rogov},
     title = {Hochschild cohomology for algebras of dihedral type. {X.} {Exceptional} local algebras},
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A. I. Generalov; I. M. Zilberbord; V. A. Rogov. Hochschild cohomology for algebras of dihedral type. X. Exceptional local algebras. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 39, Tome 522 (2023), pp. 60-83. http://geodesic.mathdoc.fr/item/ZNSL_2023_522_a3/