Multiplication formula for Hernandez and Leclerc's quivers with potentials

2024/05/18 by Yingjin Bi, Bi, Yingjin
Mathematics · #13F60 #17B37 #18D10 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2405.11232

openalex publication_date 2024/05/18 · openalex created_date 2024/05/22 · openalex updated_date 2026/07/28

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 U_q(\widehat\mathfrakg) can be expressed in terms of such F-polynomials, one can describe the product of two simple modules over U_q(\widehat\mathfrakg) using this multiplication formula.

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