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

Published 7 Oct 2025 in math.RT, math.QA, math.RA, and nlin.SI | (2510.06437v1)

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

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Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models (2 likes, 0 questions)