Geodesic
Hochschild cohomology of algebras of quaternion type.~II. The family $Q(2\mathcal B)_1$ in characteristic~2
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 16, Tome 349 (2007), pp. 53-134

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In the present paper, the Hochschild cohomology is investigated for algebras of quaternion type from the family $Q(2\mathcal B)_1$ over an algebraically closed field with characteristic 2. The 4-periodic bimodule resolution is constructed for the most part of algebras of this family. Using this resolution, the description in terms of generators and relations is given for the Hochschild cohomology algebra of the algebras under consideration. 
@article{ZNSL_2007_349_a2,
     author = {A. I. Generalov and A. A. Ivanov and S. O. Ivanov},
     title = {Hochschild cohomology of algebras of quaternion {type.~II.} {The} family $Q(2\mathcal B)_1$ in characteristic~2},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {53--134},
     publisher = {mathdoc},
     volume = {349},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_349_a2/}
}
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A. I. Generalov; A. A. Ivanov; S. O. Ivanov. Hochschild cohomology of algebras of quaternion type.~II. The family $Q(2\mathcal B)_1$ in characteristic~2. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 16, Tome 349 (2007), pp. 53-134. http://geodesic.mathdoc.fr/item/ZNSL_2007_349_a2/