WKB approximation, crystals and combinatorics of Young tableaux

Fuente: arXiv
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Autore principale: Xu, Xiaomeng
Natura: Preprint
Pubblicazione: 2021
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author Xu, Xiaomeng
author_facet Xu, Xiaomeng
contents 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 Schützenberger involution.
format Preprint
id arxiv_https___arxiv_org_abs_2105_13149
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle WKB approximation, crystals and combinatorics of Young tableaux
Xu, Xiaomeng
Representation Theory
Classical Analysis and ODEs
Quantum Algebra
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 Schützenberger involution.
title WKB approximation, crystals and combinatorics of Young tableaux
topic Representation Theory
Classical Analysis and ODEs
Quantum Algebra
url https://arxiv.org/abs/2105.13149