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

Fuente: arXiv
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Main Author: Hernandez, David
Format: Preprint
Published: 2025
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author Hernandez, David
author_facet Hernandez, David
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_06437
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models
Hernandez, David
Representation Theory
Quantum Algebra
Rings and Algebras
Exactly Solvable and Integrable Systems
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.
title Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models
topic Representation Theory
Quantum Algebra
Rings and Algebras
Exactly Solvable and Integrable Systems
url https://arxiv.org/abs/2510.06437