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arXiv · 2604.25462

Representations of Super Yangians with Gelfand-Tsetlin bases

Vyacheslav Futorny·Zheng Li·Jian Zhang
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Abstract

The evaluation homomorphism from the super Yangian $\mathrm Y(\mathfrak{gl}_{m|n})$ to the universal enveloping algebra $\mathrm U(\mathfrak{gl}_{m|n})$ allows one to regard the $\mathfrak{gl}_{m|n}$-modules as $\mathrm Y(\mathfrak{gl}_{m|n})$-modules. In this paper, we establish necessary and sufficient conditions for simple tensor products of covariant evaluation modules to be tame. We also provide an explicit construction of Gelfand-Tsetlin bases for tensor products of skew modules.

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BibTeXRIS

Vyacheslav Futorny, Zheng Li, Jian Zhang. 2026-04-28. Representations of Super Yangians with Gelfand-Tsetlin bases. https://arxiv.org/abs/2604.25462

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