Permutation sign under the Robinson-Schensted-Knuth correspondence

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.

11 pages

Cited by in corpus (1)

• On the sign-imbalance of partition shapes