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arXiv · 2110.12784

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

A. I. Molev
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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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A. I. Molev. 2022-02-17. Representations of the super Yangians of types $A$ and $C$. https://doi.org/10.1007/s10468-022-10121-w

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