Cohomologies of the Poisson superalgebra on (2,n)-superdimensional spaces

Details Cohomologies of the Poisson superalgebra on (2,n)-superdimensional spaces Cohomologies of the Poisson superalgebra on (2,n)-superdimensional spaces

2004-11-25

arxiv.org/abs/hep-th/0411235v2

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, Latex

Scientific paper

10.1007/s11232-005-0187-6

Cohomology spaces of the Poisson superalgebra realized on smooth
Grassmann-valued functions with compact support on R^2 are investigated under
suitable continuity restrictions on cochains. The zeroth, first, and second
cohomology spaces in the adjoint representation of the Poisson superalgebra are
found for the case of a nondegenerate constant Poisson superbracket.

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