2017/09/19 by Ben Brubaker, Valentin Buciumas, Brubaker, Ben +5
Mathematics · #16T20 #16T25 #22E5 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 20C08 #Representation Theory (math.RT) #Secondary 11F68
paper · pdf · doi:10.48550/arxiv.1709.06500
openalex publication_date 2017/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.