Convex Orderings in Affine Root Systems, II

✍ Scribed by Paolo Papi

• Book ID: 102571418
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 235 KB
• Volume: 186
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.0362

✦ Synopsis

This paper contains several results concerning convex orderings in root systems. These results complete the analysis developed in earlier papers by the author. We obtain, in the finite case, a combinatorial characterization of reflections, longest elements in standard parabolic subgroups of the Weyl group of the root system, and of Coxeter elements. In the affine case, a refinement of the main construction Ž . done earlier by the author J. Algebra 172, 1995, 613᎐623 is described; moreover, infinite periodic compatible sets are classified.