English

On Combinatorial Models for Affine Crystals

Combinatorics 2019-11-26 v1

Abstract

We biject two combinatorial models for tensor products of (single-column) Kirillov-Reshetikhin crystals of any classical type ADA-D: the quantum alcove model and the tableau model. This allows us to translate calculations in the former model (of the energy function, the combinatorial RR-matrix, etc.) to the latter, which is simpler.

Keywords

Cite

@article{arxiv.1911.10957,
  title  = {On Combinatorial Models for Affine Crystals},
  author = {Cristian Lenart and Adam Schultze},
  journal= {arXiv preprint arXiv:1911.10957},
  year   = {2019}
}
R2 v1 2026-06-23T12:26:27.540Z