Relations and deformations of odd Hamiltonian superalgebras

The following (co)homology groups of the Lie superalgebra $H(0,n)$ are calculated: the $H^2(H,H)$ cohomology with coefficients in the adjoint module and the $H_2(LH)$ homology of the nilpotent subalgebra. It is shown that $\dim H^2(H,H)=1$.