Compatibility between truncation and coproducts for quantum affine algebra and Yangian of $\mathfrak{sl}_2(\mathbb{C})$
Quantum Algebra
2025-10-27 v2
Abstract
We prove that the standard Drinfeld-Jimbo coproducts for Yangians and quantum affine algebras factorize through their truncated quotients in the case of . As an auxiliary result, we give formulas for the coproduct of the truncation series in both cases.
Keywords
Cite
@article{arxiv.2506.10544,
title = {Compatibility between truncation and coproducts for quantum affine algebra and Yangian of $\mathfrak{sl}_2(\mathbb{C})$},
author = {Jérôme Milot},
journal= {arXiv preprint arXiv:2506.10544},
year = {2025}
}
Comments
11 pages. v2 : typo, new keywords, expanded introduction