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arXiv · 2108.10104

Representations of the orthosymplectic Yangian

A. I. Molev
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Abstract

We give a complete description of the finite-dimensional irreducible representations of the Yangian associated with the orthosymplectic Lie superalgebra $\frak{osp}_{1|2}$. The representations are parameterized by monic polynomials in one variable, they are classified in terms of highest weights. We give explicit constructions of a family of elementary modules of the Yangian and show that a wide class of irreducible representations can be produced by taking tensor products of the elementary modules.

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BibTeXRIS

A. I. Molev. 2021-08-23. Representations of the orthosymplectic Yangian. https://doi.org/10.1007/s00220-022-04529-0

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