Cohomologies of the Poisson superalgebra on (2,n)-superdimensional spaces
Abstract
Cohomology spaces of the Poisson superalgebra realized on smooth Grassmann-valued functions with compact support on R2 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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