Geodesic
Triviality of the second cohomology group of the conformal algebras $\mathrm{Cend}_n$ and $\mathrm{Cur}_n$
Algebra i analiz, Tome 21 (2009) no. 1, pp. 74-89.

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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. 
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I. A. Dolguntseva. Triviality of the second cohomology group of the conformal algebras $\mathrm{Cend}_n$ and $\mathrm{Cur}_n$. Algebra i analiz, Tome 21 (2009) no. 1, pp. 74-89. http://geodesic.mathdoc.fr/item/AA_2009_21_1_a2/

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