Representations of the Super Yangians of Types A and C

We classify the finite-dimensional irreducible representations of the super Yangian associated with the orthosymplectic Lie superalgebra 𝔬𝔰𝔭_2|2n . The classification is given in terms of the highest weights and Drinfeld polynomials. We also include an R -matrix construction of the polynomial evaluation modules over the Yangian associated with the Lie superalgebra 𝔤𝔩_m|n , as an appendix. This is a super-version of the well-known construction for the 𝔤𝔩_n Yangian and it relies on the Schur–Sergeev duality.