Irreductible Representations of the Simple Jordan Superalgebra of Grassmann Poisson bracket

We obtain classification of the irreducible bimodules over the Jordan superalgebra Kan(n), the Kantor double of the Grassmann Poisson superalgebra G_n on n odd generators, for all n ≥ 2 and an algebraically closed field of characteristic ≠ 2. This generalizes the corresponding result of C. Martínez and E. Zelmanov announced in [MZ2] for n > 4 and a field of characteristic zero.

grassmann-poisson.pdf (147K)

O. Folleco Solarte < olmer@unicauca.co >

I. Shestakov < shestak@ime.usp.br >