Email this article Hochschild Cohomologies of the Associative Conformal Algebra Cend1,x
- Authors: Kozlov R.A.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 58, No 1 (2019)
- Pages: 36-47
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234118
- DOI: https://doi.org/10.1007/s10469-019-09523-5
- ID: 234118
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Abstract
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.
About the authors
R. A. Kozlov
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: KozlovRA.NSU@yandex.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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