19 citations · 90 across the 24 of their papers we have counts for
24 papers
Lattice Models for Double Whittaker Polynomials and Motivic Chern Classes
Ben Brubaker, Daniel Bump, Andrew Hardt +1
We will describe solvable lattice models whose partition functions depend on two sets of variables, and that have different connections with th…
Quantum superalgebras and the free-fermionic Yang-Baxter equation
Ben Brubaker, Daniel Bump, Henrik P. A. Gustafsson
The free-fermion point refers to a parametrized Yang-Baxter equation within the six-vertex model. It has been known for a long time…
Kirillov's conjecture on Hecke-Grothendieck polynomials
Ben Brubaker, A. Suki Dasher, Michael Hu +6
We use algebraic methods in statistical mechanics to represent a multi-parameter class of polynomials in several variables as partition functions of a new family of solvable lattic…
Solving the n-color ice model
Patrick Addona, Ethan Bockenhauer, Ben Brubaker +14
Given an arbitrary choice of two sets of nonzero Boltzmann weights for -color lattice models, we provide explicit algebraic conditions on these Boltzmann weights which guarantee…
Special Functions for Hyperoctahedral Groups Using Bosonic, Trigonometric Six-Vertex Models
Ben Brubaker, Will Grodzicki, Andrew Schultz
Recent works have sought to realize certain families of orthogonal, symmetric polynomials as partition functions of well-chosen classes of solvable lattice models. Many of these us…
Crystal invariant theory II: Pseudo-energies
Benjamin Brubaker, Gabriel Frieden, Pavlo Pylyavskyy +1
The geometric crystal operators and geometric -matrices (or geometric Weyl group actions) give commuting actions on the field of rational functions in variables. We study t…