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Hochschild cohomology of algebras of quaternion type. III. Algebras with a small parameter

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For algebras of quaternion type in the family \(Q(2{\cal B})_1\), which have a “small” natural parameter, the Hochschild cohomology algebra is described. A beforehand constructed 4-periodic bimodule resolution for the algebras under consideration is used. As a result, the description of the Hochschild cohomology algebra for all algebras of quaternion type with two simple modules in characteristic 2 is complete. Bibliography: 7 titles.

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References

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Authors and Affiliations

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

    A. I. Genralov

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  1. A. I. Genralov
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Correspondence to A. I. Genralov.

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Translated from Zapiski Nauchnykh Seminarov POMIM, Vol. 356, 2008, pp. 46–84.

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Genralov, A.I. Hochschild cohomology of algebras of quaternion type. III. Algebras with a small parameter. J Math Sci 156, 877–900 (2009). https://doi.org/10.1007/s10958-009-9296-3

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  • DOI: https://doi.org/10.1007/s10958-009-9296-3

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