Minimal length elements of finite Coxeter groups

Abstract

We give a geometric proof that minimal length elements in a (twisted) conjugacy class of a finite Coxeter group $W$ have remarkable properties with respect to conjugation, taking powers in the associated Braid group and taking centralizer in $W$.

19 pages

Cited by in corpus (6)

• Minimal length elements of extended affine Coxeter groups, II
• On the Arithmetic Fundamental Lemma in the minuscule case
• Parabolic Deligne-Lusztig varieties
• Decomposition matrices for low rank unitary groups
• Involutions in Coxeter groups
• Geometry and cohomology of compactified Deligne--Lusztig varieties