Enumerating quasi-Yamanouchi tableaux of Durfee size two
Combinatorics
2018-02-21 v2
Abstract
Quasi-Yamanouchi tableaux connect the two most studied types of tableaux. They are a subset of semistandard Young tableaux that are also a refinement on standard Young tableaux, and they can be used to improve the fundamental quasisymmetric expansion of Schur polynomials. We prove a product formula for enumerating certain quasi-Yamanouchi tableaux and provide strong evidence that no product formula exists in general for other shapes. Along the way, we also prove some nice properties of their distribution and symmetry.
Keywords
Cite
@article{arxiv.1610.04206,
title = {Enumerating quasi-Yamanouchi tableaux of Durfee size two},
author = {George Wang},
journal= {arXiv preprint arXiv:1610.04206},
year = {2018}
}
Comments
10 pages, 15 figures