Abstract
We show how the sign of a permutation can be deduced from the tableaux induced by the permutation under the Robinson-Schensted correspondence. The result yields a simple proof of a conjecture on the squares of imbalances raised recently by Stanley.
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AMS Subject Classification: 05E10, 05A15.
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Reifegerste, A. Permutation Sign under the Robinson-Schensted Correspondence. Ann. Combin. 8, 103–112 (2004). https://doi.org/10.1007/s00026-004-0208-4
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DOI: https://doi.org/10.1007/s00026-004-0208-4