Hochschild Cohomologies of the Associative Conformal Algebra Cend1,x


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It is stated that the second Hochshild cohomology group of the associative conformal algebra Cend1,x with values in any bimodule is trivial. Consequently, the given algebra splits off in every extension with nilpotent kernel.

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R. Kozlov

Sobolev Institute of Mathematics; Novosibirsk State University

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Email: KozlovRA.NSU@yandex.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090

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