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arXiv · 2510.06437

Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models

David Hernandez
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Abstract

In this lecture, we survey a number of recent results and developments regarding the representation theory of infinite-dimensional quantum groups (quantum affine algebras and related algebras), as well as their connections with cluster categorification and quantum integrable models. We will also give new examples and conjectures.

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David Hernandez. 2025-10-07. Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models. https://arxiv.org/abs/2510.06437

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