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

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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. 
@article{ZNSL_2008_356_a1,
     author = {A. I. Generalov},
     title = {Hochschild cohomology of algebras of quaternion {type.~III.} {Algebras} with a~small parameter},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {46--84},
     publisher = {mathdoc},
     volume = {356},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a1/}
}
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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/