Abstract
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.
Original language | English (US) |
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Article number | 105354 |
Journal | Journal of Combinatorial Theory. Series A |
Volume | 178 |
DOIs | |
State | Published - Feb 2021 |
Bibliographical note
Publisher Copyright:© 2020 Elsevier Inc.
Keywords
- Demazure atom
- Integrability
- LS keys
- Lattice model
- The Yang-Baxter equation