Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models (2510.06437v1)

Published 7 Oct 2025 in math.RT, math.QA, math.RA, and nlin.SI

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.

Summary

We haven't generated a summary for this paper yet.

Paper Prompts

Sign up for free to create and run prompts on this paper using GPT-5.

Top Community Prompts

Explain it Like I'm 14

Practical Applications

Conceptual Simplification

Sign Up to Activate View All Prompts

Open Problems

We're still in the process of identifying open problems mentioned in this paper. Please check back in a few minutes.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Authors (1)

David Hernandez

Collections

Sign up for free to add this paper to one or more collections.

Tweets

This paper has been mentioned in 1 tweet and received 9 likes.

Upgrade to Pro to view all of the tweets about this paper:

Start a free 7-day Pro trial

alphaXiv

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