Intertwiners of Yangian representations
Quantum Algebra
2025-08-19 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
We construct type Yangian algebra evaluations of order embedded in Heisenberg algebras and consider their representations having a highest weight. These Yangian algebra presentations depend on 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 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.
Cite
@article{arxiv.2508.11980,
title = {Intertwiners of Yangian representations},
author = {R. Kirschner},
journal= {arXiv preprint arXiv:2508.11980},
year = {2025}
}
Comments
35 pages