Generating Operators of the Krasil'shchik-Schouten bracket
Vallejo, J. A.
arXiv, 0312052 / Harvested from arXiv
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.
Publié le : 2003-12-19
Classification:  Mathematical Physics,  13Nxx, 53Dxx (Primary) 14F05, 53DA7 (Secondary)
@article{0312052,
     author = {Vallejo, J. A.},
     title = {Generating Operators of the Krasil'shchik-Schouten bracket},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312052}
}
Vallejo, J. A. Generating Operators of the Krasil'shchik-Schouten bracket. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312052/