Graded limits of simple tensor product of Kirillov-Reshetikhin modules for $U_q({\widetilde{\mathfrak{sl}}}_{n+1})$

Abstract

We study the graded limits of simple $U_q({\widetilde{\mathfrak{sl}}}_{n+1})$-modules which are isomorphic to tensor products of Kirillov-Reshetikhin modules associated to a fix fundamental weight. We prove that every such module admits a graded limit which is isomorphic to the fusion product of the graded limits of its tensor factors. Moreover, using recent results of Naoi, we exhibit a set of defining relations for these graded limits.

13 pages. A few corrections made. To appear in communications in algebra

References in corpus (3)

• A Steinberg type decomposition theorem for higher level Demazure modules
• Generalized Demazure modules and fusion products
• Defining relations of fusion products and Schur positivity

Cited by in corpus (1)

• Tensor products of Kirillov-Reshetikhin modules and fusion products