QR-Code

Noncrossing partitions and the shard intersection order

We define a new lattice structure (W,\preceq ) on the elements of a finite Coxeter group W. This lattice, called the \emphshard intersection order, is weaker than the weak order and has the noncrossing partition lattice \NC (W) as a sublattice. The new construction of \NC (W) yields a new proof that...

Ausführliche Beschreibung

Gespeichert in:
1. Verfasser: Nathan Reading
Format: Artigo
Sprache:Inglês
Veröffentlicht: Discrete Mathematics & Theoretical Computer Science 2009-01-01
Schriftenreihe:Discrete Mathematics & Theoretical Computer Science
Schlagworte:
lattice congruence
noncrossing partition
shard
weak order
[math.math-co] mathematics [math]/combinatorics [math.co]
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online-Zugang:https://dmtcs.episciences.org/2709/pdf
Tags: Tag hinzufügen
Keine Tags, Fügen Sie das erste Tag hinzu!

Ähnliche Einträge