H(2n,m)-invariant differential operators and irreducible osp(2,2n)- representations (Q792674)

The description of H(2n,m)-invariant operators from one module of formal tensor fields into another is presented; here H(2n,m) is a Lie superalgebra of Hamiltonian vector fields of 2n even variables and m odd variables for the case \(m\geq 2\) and \(n>0\). We also give a description of irreducible representations of a Lie superalgebra reduced with respect to its Cartan subalgebra.