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arXiv · 2506.10544

Compatibility between truncation and coproducts for quantum affine algebra and Yangian of $\mathfrak{sl}_2(\mathbb{C})$

Jérôme Milot
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Abstract

We prove that the standard Drinfeld-Jimbo coproducts for Yangians and quantum affine algebras factorize through their truncated quotients in the case of $\mathfrak{sl}_2(\mathbb{C})$. As an auxiliary result, we give formulas for the coproduct of the truncation series in both cases.

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Jérôme Milot. 2025-06-12. Compatibility between truncation and coproducts for quantum affine algebra and Yangian of $\mathfrak{sl}_2(\mathbb{C})$. https://arxiv.org/abs/2506.10544

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