Characters of quantum loop algebras
Representation Theory
2026-01-27 v2 Quantum Algebra
Abstract
The q-characters of quantum loop algebras are very important objects in representation theory. In [20], we showed that q-characters factor as a power series of the form studied in [9] times a character, an important phenomenon which had already been known in finite types. In the present paper, we prove a conjectural formula for the aforementioned character factor.
Cite
@article{arxiv.2503.17518,
title = {Characters of quantum loop algebras},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:2503.17518},
year = {2026}
}