Construction of Modules for Lie Superalgebras of Type C Original Research Article

Let λ be a partition of some nonnegative integer ƒ. Let n be any integer such that n ≥ λ1 + 1. Then λ labels a weight for the Lie superalgebra Cn. Let V(λ) denote the irreducible module for Cn with highest weight labelled by λ. We construct V(λ) explicitly as a submodule of circle times operatorƒV, the ƒ-fold tensor product of the natural representation of Cn.