Geodesic
Hochschild cohomology of algebras of quaternion type. The family $Q(2\mathcal B)_1$ in characteristic~3
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 152-178

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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 of characteristic 3. Using previously constructed 4-periodic bimodule resolution, we describe Hochschild cohomology algebra of the above algebras in terms of generators and relations. 
@article{ZNSL_2011_388_a5,
     author = {A. A. Ivanov},
     title = {Hochschild cohomology of algebras of quaternion type. {The} family $Q(2\mathcal B)_1$ in characteristic~3},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {152--178},
     publisher = {mathdoc},
     volume = {388},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a5/}
}
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A. A. Ivanov. Hochschild cohomology of algebras of quaternion type. The family $Q(2\mathcal B)_1$ in characteristic~3. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 152-178. http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a5/