Cohomology of associative H-pseudoalgebras

Abstract

We define cohomology of associative H-pseudoalgebras, and we show that it describes module extensions, abelian pseudoalgebra extensions, and pseudoalgebra first order deformations. We describe in details the same results for the special case of associative conformal algebras.

arXiv commentCorrected typos. Minors explanations and remarks were added. Final version accepted for publication