## Representations of the super Yangians of types $$A$$ and $$C$$

### A. I. Molev

#### Abstract

We classify the finite-dimensional irreducible representations of the super Yangian associated with the orthosymplectic Lie superalgebra $${\frak osp}_{2|2n}$$. 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 $${\frak gl}_{m|n}$$, as an appendix. This is a super-version of the well-known construction for the $${\frak gl}_n$$ Yangian and it relies on the Schur–Sergeev duality.

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 Tuesday, November 9, 2021