Characters of quantum loop algebras

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. In the present paper, we prove a product formula for the aforementioned character factor.

Publication Details

Journal
arXiv (Cornell University)
Published
2025-03-21
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
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article

Characters of quantum loop algebras

arXiv (Cornell University)
Algebraic structures and combinatorial models
article

Characters of quantum loop algebras

article en

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. In the present paper, we prove a product formula for the aforementioned character factor.

arXiv (Cornell University)
Openalex Percentile: Top 41%
Algebraic structures and combinatorial models
Open Access PDFOpenAlex
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Characters of quantum loop algebras · arXiv (Cornell University) (2025) | TGRS Research Map | TGRS