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

Research paper by Minwon Na

Indexed on: 08 Jun '16Published on: 08 Jun '16Published in: Mathematics - Combinatorics



Abstract

We turn the tableau insertion algorithm for semistandard tableaux to a sequence called a buming route. We also define a reverse bumping route by the reverse insertion algorithm. These sequences are used to give a bijective proof of Vershik's relations for the Kostka numbers.