English

Differential posets have strict rank growth: a conjecture of Stanley

Combinatorics 2012-02-15 v1

Abstract

We establish strict growth for the rank function of an r-differential poset. We do so by exploiting the representation theoretic techniques developed by Reiner and the author for studying related Smith forms.

Keywords

Cite

@article{arxiv.1202.3006,
  title  = {Differential posets have strict rank growth: a conjecture of Stanley},
  author = {Alexander Miller},
  journal= {arXiv preprint arXiv:1202.3006},
  year   = {2012}
}

Comments

5 pages, 1 figure