Generating Operators of the Krasil'shchik-Schouten bracket
arXiv:math-ph/0312052 · doi:10.1007/s11005-004-4066-0
Abstract
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 graded Jacobi algebras are included.