Journal of Mathematical Sciences

, Volume 151, Issue 3, pp 2961–3009

Hochschild cohomology of algebras of quaternion type. II. The family \( Q(2\mathcal{B})_1 \) in characteristic 2

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Abstract

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 2. A 4-periodic bimodule resolution is constructed for the most part of algebras in this family. Using this resolution, a description in terms of generators and relations is given for the Hochschild cohomology algebra of the algebras under consideration. Bibliography: 20 titles.

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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  • A. I. Generalov
    • 1
  • A. A. Ivanov
    • 1
  • S. O. Ivanov
    • 1
  1. 1.St.Petersburg State UniversitySt.PetersburgRussia

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