English

Intertwiners of Yangian representations

Quantum Algebra 2025-08-19 v1 Mathematical Physics math.MP Representation Theory

Abstract

We construct type g(n)g\ell(n) Yangian algebra evaluations of order NN embedded in Heisenberg algebras and consider their representations having a highest weight. These Yangian algebra presentations depend on nNnN 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 RR 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.

Keywords

Cite

@article{arxiv.2508.11980,
  title  = {Intertwiners of Yangian representations},
  author = {R. Kirschner},
  journal= {arXiv preprint arXiv:2508.11980},
  year   = {2025}
}

Comments

35 pages

R2 v1 2026-07-01T04:52:57.753Z