Generating Operators of the Krasil'shchik-Schouten bracket
Abstract
Description
It is proved that given a divergence operator on the structural sheaf of graded commutative algebras of a supermanifold, it is possible to construct a generating operator for the Krashil'shchik-Schouten bracket. This is a particular case of the construction of generating operators for a special class of bigraded Gerstenhaber algebras.
Also, some comments on the generalization of these results to the context of $n-$graded Jacobi algebras are included.