Cohomologies of the Poisson superalgebra on (2,n)-superdimensional spaces
classification
✦ hep-th
keywords
poissonspacessuperalgebracohomologyadjointcasecochainscohomologies
read the original 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.
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