Multiplication formula for Hernandez and Leclerc's quivers with potentials

Abstract

In this paper, we study multiplication formula of F-polynomial of representations of Hernandez and Leclerc's quivers with potentials. Since the truncated q-characters of some real simple modules over a quantum affine group Uq(g) can be expressed in terms of such F-polynomials, one can describe the product of two simple modules over Uq(g) using this multiplication formula.

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