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Duality for metaplectic ice

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arxiv 1709.06500 v3 pith:AK34SCUE submitted 2017-09-19 math-ph math.MPmath.RT

classification math-phmath.MPmath.RT
keywords functionsdifferentmetaplecticmodelspartitionassociatedcommutativitycovers
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We interpret values of spherical Whittaker functions on metaplectic covers of the general linear group over a nonarchimedean local field as partition functions of two different solvable lattice models. We prove the equality of these two partition functions by showing the commutativity of transfer matrices associated to different models via the Yang-Baxter equation.

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Cited by 1 Pith paper

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  1. The Sch\"utzenberger involution and colored lattice models

    math.CO 2025-05 conditional novelty 7.0 of 10

    A new left-moving family of colored lattice models is proven solvable and dual to the right-moving family, with the crystal limit yielding a Schützenberger involution bijection on Gelfand-Tsetlin patterns.

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