Hochschild cohomology for algebras of dihedral type. IV. The family $D(2\mathcal B)(k,s,0)$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 67-104 Cet article a éte moissonné depuis la source Math-Net.Ru

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We compute the Hochschild cohomology groups for algebras of dihedral type which are contained in the family $D(2\mathcal B)(k,s,c)$ (from the famous K. Erdmann's classification) in the case where the parameter $c$ included in defining relations of algebras from this family is equal to zero. The calculation relies upon a construction of the bimodule resolution for algebras from the above family.
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A. I. Generalov; N. Yu. Kosovskaia. Hochschild cohomology for algebras of dihedral type. IV. The family $D(2\mathcal B)(k,s,0)$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 67-104. http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a3/

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