Duality for metaplectic ice

Abstract

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.

References in corpus (2)

• A Yang-Baxter equation for metaplectic ice
• Metaplectic Ice for Cartan Type C

Cited by in corpus (7)

• A Yang-Baxter equation for metaplectic ice
• Colored Vertex Models and Iwahori Whittaker Functions
• Metaplectic Ice for Cartan Type C
• Metaplectic Iwahori Whittaker functions and supersymmetric lattice models
• Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions
• Vertex operators, solvable lattice models and metaplectic Whittaker functions
• Integrable models and $K$-theoretic pushforward of Grothendieck classes