CAPELLI IDENTITIES FOR LIE-SUPERALGEBRAS

We study a distinguished basis in the centre of the enveloping algebra of the Lie superalgebra q(N). The irreducible polynomial representati ons of q(N) are labelled by decreasing sequences of positive integers lambda = (lambda(1),...,lambda(l)) with l less than or equal to N. The elements of our basis are labelled by the same sequences. The basic e lement C-lambda of the centre vanishes in the irreducible representati on corresponding to a sequence mu if and only if lambda(i) > mu(i) for some i. We obtain an explicit formula for the element C-lambda.