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Extremal monomials of $q$-characters

Neguţ, Andrei
arXiv (All) · Papers
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algebraic-geometryquantum-algebrarepresentation-theory
In this short paper, we prove a conjecture of Frenkel-Hernandez, which states that $q$-characters of finite-dimensional simple modules of the quantum affine algebra $U_q(\widehat{\mathfrak{g}})$ are bounded by the Weyl group orbit of the leading monomial under Chari's braid group action. This can be
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