Generating Operators of the Krasil'shchik-Schouten bracket

Details Generating Operators of the Krasil'shchik-Schouten bracket Generating Operators of the Krasil'shchik-Schouten bracket

2003-12-19

arxiv.org/abs/math-ph/0312052v1

Letters in Mathematical Physics 68 (2004) 1, 1-17

Physics

Mathematical Physics

Scientific paper

10.1007/s11005-004-4066-0

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.

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