Tensor products of Kirillov-Reshetikhin modules and fusion products

Abstract

We study the classical limit of a tensor product of Kirillov-Reshetikhin modules over a quantum loop algebra, and show that it is realized from the classical limits of the tensor factors using the notion of fusion products. In the process of the proof, we also give defining relations of the fusion product of the (graded) classical limits of Kirillov-Reshetikhin modules.

32 pages, corrected typos

References in corpus (3)

• Existence of Kirillov-Reshetikhin crystals for nonexceptional types
• Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas
• Graded limits of simple tensor product of Kirillov-Reshetikhin modules for $U_q({\widetilde{\mathfrak{sl}}}_{n+1})$