Geodesic
Hochschild cohomologies for associative conformal algebras
Algebra i logika, Tome 46 (2007) no. 6, pp. 688-706

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We introduce the concept of Hochschild cohomologies for associative conformal algebras. It is shown that the second cohomology group of a conformal Weyl algebra with values in any bimodule is trivial. As a consequence, we derive that the conformal Weyl algebra is segregated in any extension with nilpotent kernel.
Mots-clés : conformal algebra
Keywords: cohomology group, Weyl algebra. 
@article{AL_2007_46_6_a1,
     author = {I. A. Dolguntseva},
     title = {Hochschild cohomologies for associative conformal algebras},
     journal = {Algebra i logika},
     pages = {688--706},
     publisher = {mathdoc},
     volume = {46},
     number = {6},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2007_46_6_a1/}
}
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I. A. Dolguntseva. Hochschild cohomologies for associative conformal algebras. Algebra i logika, Tome 46 (2007) no. 6, pp. 688-706. http://geodesic.mathdoc.fr/item/AL_2007_46_6_a1/