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Generating Operators of the Krasil'shchik-Schouten bracket

J. A. Vallejo
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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 $n-$graded Jacobi algebras are included.

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J. A. Vallejo. 2003-12-19. Generating Operators of the Krasil'shchik-Schouten bracket. https://doi.org/10.1007/s11005-004-4066-0

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