Counting Descents in Standard Young Tableaux
Combinatorics
2008-10-28 v1
Abstract
This paper deals with the distribution of descent number in standard Young tableaux of certain shapes. A simple explicit formula is presented for the number of tableaux of any shape with two rows, with any specified number of descents. For shapes of three rows with one cell in the third row recursive formulas are given, and are solved in certain cases.
Cite
@article{arxiv.0810.4701,
title = {Counting Descents in Standard Young Tableaux},
author = {Ilia Barahovski},
journal= {arXiv preprint arXiv:0810.4701},
year = {2008}
}
Comments
The current version contains mostly results without complete proofs