Colored five-vertex models and Demazure atoms
Journal article, 2021

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 construct solvable lattice models whose partition functions are Demazure atoms; the proof of this makes use of a Yang-Baxter equation for a colored five-vertex model. As a byproduct, we will construct Demazure atoms on Kashiwara's B∞ crystal and give new algorithms for computing Lascoux-Schützenberger keys.

LS keys

Integrability

Lattice model

Demazure atom

The Yang-Baxter equation

Author

Ben Brubaker

University of Minnesota

Valentin Buciumas

University of Queensland

Daniel Bump

Stanford University

Henrik Gustafsson

Stanford University

Rutgers University

Institute for Advanced Studies

Chalmers, Mathematical Sciences, Algebra and geometry

Journal of Combinatorial Theory - Series A

0097-3165 (ISSN)

Vol. 178 105354

Subject Categories

Probability Theory and Statistics

Discrete Mathematics

Mathematical Analysis

DOI

10.1016/j.jcta.2020.105354

More information

Latest update

11/9/2020