On the Topology of the Cambrian Semilattices

Abstract

For an arbitrary Coxeter group W , Reading and Speyer defined Cambrian semilattices Cγ as sub-semilattices of the weak order onW induced by so-called γ-sortable elements. In this article, we define an edge-labeling of Cγ , and show that this is an EL-labeling for every closed interval of Cγ . In addition, we use our labeling to show that every finite open… (More)

Topics

4 Figures and Tables

Cite this paper

@article{Kallipoliti2013OnTT, title={On the Topology of the Cambrian Semilattices}, author={Myrto Kallipoliti and Henri M{\"u}hle}, journal={Electr. J. Comb.}, year={2013}, volume={20}, pages={P48} }