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Permutation sign under the Robinson-Schensted-Knuth correspondence

Astrid Reifegerste
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Abstract

We show how the sign of a permutation can be deduced from the tableaux induced by the permutation under the Robinson-Schensted-Knuth correspondence. The result yields a simple proof of a conjecture on the squares of imbalances raised by Stanley.

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Astrid Reifegerste. 2003-09-16. Permutation sign under the Robinson-Schensted-Knuth correspondence. https://arxiv.org/abs/math/0309266

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