Permutation sign under the Robinson-Schensted-Knuth correspondence
Combinatorics
2007-05-23 v1
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.
Cite
@article{arxiv.math/0309266,
title = {Permutation sign under the Robinson-Schensted-Knuth correspondence},
author = {Astrid Reifegerste},
journal= {arXiv preprint arXiv:math/0309266},
year = {2007}
}
Comments
11 pages