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Hochschild Cohomology of Algebras of Quaternion Type. IV: Cohomology Algebra for Exceptional Local Algebras

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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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  • 14 February 2021

    The author name V. Semenov should be A. V. Semenov​​ in Springerlink.

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Authors and Affiliations

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

    A. I. Generalov

  2. Chebyshev Laboratory, St.Petersburg State University, St.Petersburg, Russia

    A. V. Semenov

Authors
  1. A. I. Generalov
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  2. A. V. Semenov
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Correspondence to A. I. Generalov.

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Translated by the authors.

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 478, 2018, pp. 32–77.

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Generalov, A.I., Semenov, A.V. Hochschild Cohomology of Algebras of Quaternion Type. IV: Cohomology Algebra for Exceptional Local Algebras. J Math Sci 247, 518–549 (2020). https://doi.org/10.1007/s10958-020-04818-w

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