On Lie superalgebroids of Poisson type

Abstract

The purpose of this work is to study Lie superalgebroid structures on the space of superdifferential $1$-forms over the supermanifolds whose superfunctions are the differential forms on its underlying manifold. These superalgbroids are constructed from graded Poisson structures defined on the latter superalgebra.

References in corpus (2)

• Supergroupoids, double structures, and equivariant cohomology
• On Lie Algebroids and Poisson Algebras