Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules

2018/07/30 by Lee, Chul-hee · 1 citation
#17B10 #17B37 #81R50 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/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 E₈ by employing an algebraic relation among these limits, which is a variant of Q\widetildeQ-relations.

Cited by

• Unipotent quantum coordinate ring and minuscule prefundamental representations: twisted case

Related

• Asymptotics of standard modules of quantum affine algebras
• Denominators of R-matrices, higher Dorey's rules and a generalization of T-systems for quantum affine algebras
• t-analogs of q-characters of Kirillov-Reshetikhin modules of quantm affine algebras
• Character Formulas for Kirillov-Reshetikhin Modules via Folding of Supercharacters of \mathfrakgl(M|N)
• Products of Kirillov-Reshetikhin modules and maximal green sequences