Signed differential posets and sign-imbalance
组合数学
2007-05-23 v2
摘要
We study signed differential posets, a signed version of differential posets. These posets satisfy enumerative identities which are signed analogues of those satisfied by differential posets. Our main motivations are the sign-imbalance identities for partition shapes originally conjectured by Stanley, now proven by Lam, Reifergerste and Sjostrand. We show that these identities result from a signed differential poset structure on Young's lattice, and explain similar identities for Fibonacci shapes.
引用
@article{arxiv.math/0611296,
title = {Signed differential posets and sign-imbalance},
author = {Thomas Lam},
journal= {arXiv preprint arXiv:math/0611296},
year = {2007}
}
备注
References updated. 20 pages