21 citations · 89 across the 16 of their papers we have counts for
4 papers · 1 filter
Colored five-vertex models and Lascoux polynomials and atoms
Valentin Buciumas, Travis Scrimshaw, Katherine Weber
We construct an integrable colored five-vertex model whose partition function is a Lascoux atom based on the five-vertex model of Motegi and Sakai [arXiv:1305.3030] and the colored…
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…
Polynomial functors and two-parameter quantum symmetric pairs
Valentin Buciumas, Hankyung Ko
We develop a theory of two-parameter quantum polynomial functors. Similar to how (strict) polynomial functors give a new interpretation of polynomial representations of the general…
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…