TITLE |
Product Formula for the Limits of Normalized Characters of Kirillov-Reshetikhin Modules |
KIAS AUTHORS |
Lee, Chul-hee,Lee, Chul-hee |
JOURNAL |
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021 |
ARCHIVE |
arXiv:1807.11194
|
ABSTRACT |
The normalized characters of Kirillov-Reshetikhin modules over a quantum affine algebra have a limit as a formal power series. Mukhin and Young found a conjectural product formula for this limit, which resembles the Weyl denominator formula. We prove this formula except for some cases in type E-8 by employing an algebraic relation among these limits, which is a variant of Q (Q) over tilde -relations. |