Introduction to Poisson supermanifolds. (English) Zbl 0782.58010
Summary: A notion of super-Poisson structure in the category of (real) graded manifolds is presented and some of its properties are discussed. Some examples of Poisson supermanifolds are given. The structure of the cotangent supermanifold of a Lie supergroup is described and an extension of the Lie-Poisson reduction theorem for ordinary Lie groups is derived.
MSC:
| 58A50 | Supermanifolds and graded manifolds |
| 17B70 | Graded Lie (super)algebras |
| 17A70 | Superalgebras |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 53C80 | Applications of global differential geometry to the sciences |
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