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Hochschild Cohomology for Algebras of Dihedral Type. IV. The family D(2B)(k, s, 0)

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The Hochschild cohomology groups for algebras of dihedral type that lie in the family D(2B)(k, s, c) (in the famous K. Erdmann’s classification) are computed in the case where the parameter c included in the defining relations of algebras from this family is equal to zero. The calculation relies upon the construction of a bimodule resolution for algebras from the above family. Bibliography: 26 titles.

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References

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

    A. I. Generalov & N. Yu. Kosovskaya

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  1. A. I. Generalov
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  2. N. Yu. Kosovskaya
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Correspondence to A. I. Generalov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 423, 2014, pp. 67–104.

Translated by A. I. Generalov.

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Generalov, A.I., Kosovskaya, N.Y. Hochschild Cohomology for Algebras of Dihedral Type. IV. The family D(2B)(k, s, 0). J Math Sci 209, 522–548 (2015). https://doi.org/10.1007/s10958-015-2510-6

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