Hochschild cohomology algebra for exceptional local algebras of dihedral type
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 85-109
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The Hochschild cohomology ring for a family of local algebras of dihedral type is described in terms of generators and relations. The family occurs in the Erdmann classification only in the case, where the characteristic of underlying field equals 2.
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M. A. Kachalova. Hochschild cohomology algebra for exceptional local algebras of dihedral type. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 85-109. http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a6/

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