WKB approximation, crystals and combinatorics of Young tableaux
Representation Theory
2025-03-21 v3 Classical Analysis and ODEs
Quantum Algebra
Abstract
In this paper, we show how various combinatorial algorithms of Young tableaux naturally arise from the WKB approximation of the connection matrix of quantum confluent hypergeometric equation, including the Robinson-Schensted algorithm, the Littlewood-Richardson rule and the Sch\"utzenberger involution.
Keywords
Cite
@article{arxiv.2105.13149,
title = {WKB approximation, crystals and combinatorics of Young tableaux},
author = {Xiaomeng Xu},
journal= {arXiv preprint arXiv:2105.13149},
year = {2025}
}
Comments
21pages