PreprintRepresentations of the super Yangians of types \(A\) and \(C\)A. I. MolevAbstractWe classify the finitedimensional irreducible representations of the super Yangian associated with the orthosymplectic Lie superalgebra \({\frak osp}_{22n}\). 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 \({\frak gl}_{mn}\), as an appendix. This is a superversion of the wellknown construction for the \({\frak gl}_n\) Yangian and it relies on the Schur–Sergeev duality. This paper is available as a pdf (320kB) file.
