Representations of the Super Yangians of Types A and C

Abstract We classify the finite-dimensional irreducible representations of super Yangian associated with orthosymplectic Lie superalgebra $\mathfrak {osp}_{2|2n}$ o s p 2 | n . The classification is given in terms highest weights and Drinfeld polynomials. also include an R -matrix construction polynomial evaluation modules over {gl}_{m|n}$ g l m , as appendix. This a super-version well-known for {gl}_{n}$ it relies on Schur–Sergeev duality.