Representations for Lie superalgebras of type C

Let be the classical Lie superalgebra of type C of rank n+1. Let λ be a partition with λ1 n. Then λ labels a finite-dimensional irreducible -module, V(λ). We describe the character of V(λ) in terms of tableaux. This tableaux description of characters enable us to decompose T= fV, the f-fold tensor product of the natural representation of , into its irreducible submodules and to show that the centralizer algebra of on T is isomorphic to the Brauer algebra Bf(2−2n) for n>f.