Geodesic
Hochschild cohomology of algebras of quaternion type. III. Algebras with a small parameter
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 17, Tome 356 (2008), pp. 46-84 Cet article a éte moissonné depuis la source Math-Net.Ru

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For algebras of quaternion type in the family $Q(2\mathcal B)_1$ which have a “small” natural parameter, we describe the Hochschild cohomology algebra. We use in the corresponding calculation a beforehand constructed 4-periodic bimodule resolution for the algebras under consideration. As result, we complete a description of the Hochschild cohomology algebra for all algebras of quaternion type with 2 simple modules in characteristic two. Bibl. – 7 titles. 
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A. I. Generalov. Hochschild cohomology of algebras of quaternion type. III. Algebras with a small parameter. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 17, Tome 356 (2008), pp. 46-84. http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a1/

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