3 papers
math.RT2019
Colored Vertex Models and Iwahori Whittaker Functions
Ben Brubaker, Valentin Buciumas, Daniel Bump +1
We give a recursive method for computing all values of a basis of Whittaker functions for unramified principal series invariant under an Iwahori or parahoric subgroup of a split re…
math.CO2019
Colored five-vertex models and Demazure atoms
Ben Brubaker, Valentin Buciumas, Daniel Bump +1
Type A Demazure atoms are pieces of Schur functions, or sets of tableaux whose weights sum to such functions. Inspired by colored vertex models of Borodin and Wheeler, we will cons…
math.CO2016
On Hamiltonians for six-vertex models
Ben Brubaker, Andrew Schultz
In this paper, we explain a connection between a family of free-fermionic six-vertex models and a discrete time evolution operator on one-dimensional Fermionic Fock space. The fami…