Non symmetric Cauchy kernel, crystals and last passage percolation
Combinatorics
2024-07-03 v2 Probability
Representation Theory
Abstract
We use non-symmetric Cauchy kernel identities to get the law of last passagepercolation models in terms of Demazure characters. The construction is basedon some restrictions of the RSK correspondence that we rephrase in a unifiedway which is compatible with crystal basis theory.
Keywords
Cite
@article{arxiv.2212.06587,
title = {Non symmetric Cauchy kernel, crystals and last passage percolation},
author = {Olga Azenhas and Thomas Gobet and Cédric Lecouvey},
journal= {arXiv preprint arXiv:2212.06587},
year = {2024}
}