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Moscow Mathematical Journal, 2017, Volume 17, Number 2, Pages 323–326
DOI: https://doi.org/10.17323/1609-4514-2017-17-2-323-326 (Mi mmj639) 		 
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
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DOI: https://doi.org/10.17323/1609-4514-2017-17-2-323-326
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.
Received: February 21, 2017; in revised form April 13, 2017
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Document Type: Article
MSC: 05A19, 05E10, 20C30
Language: English
Citation: Minwon Na, “A bijective proof of Vershik's relations for the Kostka numbers”, Mosc. Math. J., 17:2 (2017), 323–326
Citation in format AMSBIB
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\by Minwon~Na
\paper A bijective proof of Vershik's relations for the Kostka numbers
\jour Mosc. Math.~J.
\yr 2017
\vol 17
\issue 2
\pages 323--326
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3669876}
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