Cohomologies of the Poisson superalgebra on (2,n)-superdimensional spaces
arXiv:hep-th/0411235 · doi:10.1007/s11232-005-0187-6
Abstract
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.
27 pages, Latex