[Prev]  [Up]  [Next]

Götz Pfeiffer and Gerhard Röhrle,

Distributive Coset Graphs of Finite Coxeter Groups.

J. Group Theory 6 (2003), 311-320.

Abstract.

Let W be a finite Coxeter group, WJ a parabolic subgroup of W and XJ the set of distinguished coset representatives of WJ in W equipped with the induced weak Bruhat ordering of W. All instances when XJ is a distributive lattice are known. In this note we present a new short conceptual proof of this result.

Available as DVI file (45 kB), as pdf file (197 kB) and as compressed PostScript (130 kB) file.

[Prev]  [Up]  [Next]