Representations of twisted Yangians

Abstract

We study highest weight representations of certain Yangian-type ‘quantum’ algebras connected with the series B, C, D of complex classical Lie algebras. In the symplectic case, we obtain a complete parametrization of irreducible finite-dimensional representations in terms of their highest weights. We apply these results to the well-known missing label problem in the reduction sp(2n)↓sp(2n−2).