Rapport de Recherche Litp /
Litp research reports
31 pages - Mai/May 1995 - French document.
PostScript : Ko /Kb
Titre / Title: Treillis et bases des groupes de Coxeter
Abstract : Finite lattices possess a basis, as well as a cobasis, from which the element of the lattices can be recovered by Sup or Inf. We extend this construction to finite ordered sets, and then apply it to Coxeter groups, considered as ordered sets (Bruhat order. This amounts to embedd Coxeter groups into their envelopping lattice. Such a lattice is distributive in the case of type An or Bn .
Publications internes Litp 1995 / Litp research reports 1995