Permutation sign under the Robinson-Schensted-Knuth correspondence

Details Permutation sign under the Robinson-Schensted-Knuth correspondence Permutation sign under the Robinson-Schensted-Knuth correspondence

2003-09-16

arxiv.org/abs/math/0309266v1

Mathematics

Combinatorics

11 pages

Scientific paper

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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