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Hochschild cohomology for nonstandard self-injective algebras of tree class D n

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Minimal projective himodule resolutions for nonstandard self-injective algebras of finite representation type are constructed. The dimensions of the Hochschild cohomology groups are calculated, and a description of the Hochschild cohomology algebra in terms of generators with relations is obtained for the algebras under consideration through the instrumentality of these resolutions. The constructed resolutions are periodic, and, accordingly, the Hochschild cohomology for these algebras is periodic as well. Bibliography: 13 titles.

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

    Yu. V. Volkov

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  1. Yu. V. Volkov
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Correspondence to Yu. V. Volkov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 388, 2011, pp. 48–99.

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Volkov, Y.V. Hochschild cohomology for nonstandard self-injective algebras of tree class D n . J Math Sci 183, 600–628 (2012). https://doi.org/10.1007/s10958-012-0827-y

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