84 citations · 185 across the 23 of their papers we have counts for
23 papers
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…
The Six-Vertex Yang-Baxter Groupoid
Daniel Bump, Slava Naprienko
A parametrized Yang-Baxter equation is usually defined to be a map from a group to a set of R-matrices, satisfying the Yang-Baxter commutation relation. These are a mainstay of sol…
Colored Bosonic Models and Matrix Coefficients
Daniel Bump, Slava Naprienko
We develop the theory of colored bosonic models (initiated by Borodin and Wheeler). We will show how a family of such models can be used to represent the values of Iwahori vectors…
Iwahori-metaplectic duality
Ben Brubaker, Valentin Buciumas, Daniel Bump +1
We construct a family of solvable lattice models whose partition functions include -adic Whittaker functions for general linear groups from two very different sources: from Iwah…
Matrix coefficients of intertwining operators and the Bruhat order
Daniel Bump, Béatrice Chetard
Let be an unramified principal series representation of a reductive group over a nonarchimedean local field, parametrized by an element $\mathbf{z…
Metaplectic Iwahori Whittaker functions and supersymmetric lattice models
Ben Brubaker, Valentin Buciumas, Daniel Bump +1
In this paper we compute new values of Iwahori Whittaker functions on -fold metaplectic covers of with a split reductive group over…