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Hochschild cohomology of algebras of quaternion type: the family \(Q{\left( {2{\mathcal B}} \right)_1}\) in characteristic 3

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In the present paper, the Hochschild cohomology is investigated for algebras of quaternion type from the family \(Q{\left( {2{\mathcal B}} \right)_1}\) over an algebraically closed field of characteristic 3. Using the previously constructed 4-periodic bimodule resolution, we describe the Hochschild cohomology algebra of the above algebras in terms of generators and relations. Bibliography: 11 titles.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    A. A. Ivanov

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  1. A. A. Ivanov
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Correspondence to A. A. Ivanov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 388, 2011, pp. 152–178.

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Ivanov, A.A. Hochschild cohomology of algebras of quaternion type: the family \(Q{\left( {2{\mathcal B}} \right)_1}\) in characteristic 3. J Math Sci 183, 658–674 (2012). https://doi.org/10.1007/s10958-012-0830-3

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  • DOI: https://doi.org/10.1007/s10958-012-0830-3

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