L. H. Harper

activity

20162019

most citedThe Range of a Steiner Operation

3 citations · 5 across the 5 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.CO2019

The Absolute Orders on the Coxeter Groups $A_{n}$ and $B_{n}$ are Sperner

Lawrence H. Harper, Gene B. Kim, Neal Livesay

Over 50 years ago, Rota posted the following celebrated `Research Problem': prove or disprove that the partial order of partitions on an $n$ -set (i.e., the refinement order) is Spe…

math.CO2019★ 1 cited

Is the Symmetric Group Sperner?

Larry H. Harper, Gene B. Kim

An antichain $A$ in a poset $P$ is a subset of $P$ in which no two elements are comparable. Sperner showed that the maximal antichain in the Boolean l…

The Absolute Orders on the Coxeter Groups An​ and Bn​ are Sperner

Is the Symmetric Group Sperner?

The Absolute Orders on the Coxeter Groups $A_{n}$ and $B_{n}$ are Sperner