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arXiv · 2105.13149

WKB approximation, crystals and combinatorics of Young tableaux

Xiaomeng Xu
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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.

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Xiaomeng Xu. 2021-05-27. WKB approximation, crystals and combinatorics of Young tableaux. https://arxiv.org/abs/2105.13149

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