An Elementary Approach to Weight Multiplicities in Bivariate Irreducible Representations of Sp(2<i>r</i>)
An Elementary Approach to Weight Multiplicities in Bivariate Irreducible Representations of Sp(2<i>r</i>)
Abstract By bivariate irreducible representations of Sp(2r), we mean irreducible representations with highest weights containing at most two nonzero entries, using the usual identification of dominant weights for complex symplectic Lie algebras and their corresponding Lie groups as r-tuples in decreasing non-negative integers. This paper has two aims. The first …