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arXiv · 2508.11980

Intertwiners of Yangian representations

R. Kirschner
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Abstract

We construct type $g\ell(n)$ Yangian algebra evaluations of order $N$ embedded in Heisenberg algebras and consider their representations having a highest weight. These Yangian algebra presentations depend on $nN$ parameters. We construct explicitly intertwiners, which exist if the parameter arrays are related by permutations. The intertwiners are products of elementary adjacent parameter permutation operators derived from $R$ operators obeying Yang-Baxter relations. Permutation coefficients appear in the action on representations. Their dependence on the parameters allows to distinguish the types of representations.

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R. Kirschner. 2025-08-16. Intertwiners of Yangian representations. https://arxiv.org/abs/2508.11980

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