Minimal length elements in conjugacy classes of extended affine Weyl group

2010/04/23 by Xuhua He, He, Xuhua
Mathematics · #20C08 #20E45 #20F55 #20G25 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:20C08 #msc:20E45 #msc:20F55 #msc:20G25

paper · pdf · doi:10.48550/arxiv.1004.4040

arxiv created 2010/04/23 · arxiv updated 2010/04/26

Abstract

We study the minimal length elements in an integral conjugacy class of a classical extended affine Weyl group and we show that these elements are quite "special" in the sense of Geck and Pfeiffer \citeGP93. We also discuss some application on extended affine Hecke algebras and loop groups.

Related

• Extended affine Weyl groups: Presentation by conjugation via integral collection
• A Length Function for Weyl Groups of extended affine root systems of Type A₁
• On the affineness of Deligne-Lusztig varieties
• Presentation by conjugation for A₁-type extended affine Weyl groups
• Affineness of Deligne-Lusztig varieties for minimal length elements