Geodesic
Hochschild cohomology of algebras of quaternion type, IV: cohomology algebra for exceptional local algebras
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 34, Tome 478 (2019), pp. 32-77

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The description of the Hochschild cohomology algebra for a family of local algebras of quaternion type is given in terms of generators and relations. This family appears in the famous K. Erdmann's classification only in the case where the characteristic of the base field is equal to 2. 
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     author = {A. I. Generalov and A. V. Semenov},
     title = {Hochschild cohomology of algebras of quaternion type, {IV:} cohomology algebra for exceptional local algebras},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     year = {2019},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_478_a2/}
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A. I. Generalov; A. V. Semenov. Hochschild cohomology of algebras of quaternion type, IV: cohomology algebra for exceptional local algebras. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 34, Tome 478 (2019), pp. 32-77. http://geodesic.mathdoc.fr/item/ZNSL_2019_478_a2/