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arXiv:2405.11232 [math.RT]AbstractReferencesReviewsResources

Multiplication formula for Hernandez and Leclerc's quivers with potentials

Yingjin Bi

Published 2024-05-18Version 1

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

Comments: Any comment are welcome
Categories: math.RT, math.QA, math.RA
Subjects: 17B37, 13F60, 18D10
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