Permutation sign under the Robinson-Schensted-Knuth correspondence
classification
🧮 math.CO
keywords
permutationcorrespondencerobinson-schensted-knuthsignunderconjecturededucedimbalances
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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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