Generating Operators of the Krasil'shchik-Schouten bracket
Mathematical Physics
2007-05-23 v1 math.MP
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.
Cite
@article{arxiv.math-ph/0312052,
title = {Generating Operators of the Krasil'shchik-Schouten bracket},
author = {J. A. Vallejo},
journal= {arXiv preprint arXiv:math-ph/0312052},
year = {2007}
}