A bijective proof of Vershik's relations for the Kostka numbers

Minwon Na

Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan

Abstract: The aim of this paper is to give a corrected bijective proof of Vershik's relations for the Kostka numbers. Our proof uses insertion and reverse insertion algorithms, as in the combinatorial proof of the Pieri rule.

Key words and phrases: insertion algorithm, Kostka number, Vershik's relation, symmetric group.

MSC: 05A19, 05E10, 20C30

Received: February 21, 2017; in revised form April 13, 2017

Language: English

DOI: 10.17323/1609-4514-2017-17-2-323-326

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