The cohomology of Koszul-Vinberg algebra and related topics

Abstract

This short note is devoted to relationships between the cohomology theory of Koszul-Vinberg algebras and some related topics. Besides being useful for the study of some short exact sequences of KV algebras and of short exact sequences of modules over KV algebras, the so-called KV cohomology is useful to study the deformations of these KV algebras as well as to study the Dirac reductions of Poisson manifolds. We briefly discuss these items.