Abstract:
It is proved that the second cohomology group of the conformal algebras Cendn and Curn 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.
Citation:
I. A. Dolguntseva, “Triviality of the second cohomology group of the conformal algebras Cendn and Curn”, Algebra i Analiz, 21:1 (2009), 74–89; St. Petersburg Math. J., 21:1 (2010), 53–63
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\by I.~A.~Dolguntseva
\paper Triviality of the second cohomology group of the conformal algebras $\mathrm{Cend}_n$ and $\mathrm{Cur}_n$
\jour Algebra i Analiz
\yr 2009
\vol 21
\issue 1
\pages 74--89
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\transl
\jour St. Petersburg Math. J.
\yr 2010
\vol 21
\issue 1
\pages 53--63
\crossref{https://doi.org/10.1090/S1061-0022-09-01085-1}
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Linking options:
https://www.mathnet.ru/eng/aa862
https://www.mathnet.ru/eng/aa/v21/i1/p74
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