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Algebra i Analiz, 2009, Volume 21, Issue 1, Pages 74–89 (Mi aa862)  
This article is cited in 8 scientific papers (total in 8 papers)

Triviality of the second cohomology group of the conformal algebras $\mathrm{Cend}_n$ and $\mathrm{Cur}_n$

I. A. Dolguntseva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (281 kB) Citations (8)
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Abstract: It is proved that the second cohomology group of the conformal algebras $\mathrm{Cend}_n$ and $\mathrm{Cur}_n$ with coefficients in any bimodule is trivial. As a result, these algebras are segregated in any extension with a nilpotent kernel.
Keywords: associative conformal algebra, algebra of conformal endomorphisms, Hochschild cohomology.
Received: 05.02.2008
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 1, Pages 53–63
DOI: https://doi.org/10.1090/S1061-0022-09-01085-1
Bibliographic databases:
MSC: 13D03
Language: Russian
Citation: I. A. Dolguntseva, “Triviality of the second cohomology group of the conformal algebras $\mathrm{Cend}_n$ and $\mathrm{Cur}_n$”, Algebra i Analiz, 21:1 (2009), 74–89; St. Petersburg Math. J., 21:1 (2010), 53–63
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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