Minimal length elements of extended affine Coxeter groups, II

Details Minimal length elements of extended affine Coxeter groups, II Minimal length elements of extended affine Coxeter groups, II

2011-12-05

arxiv.org/abs/1112.0824v1

Mathematics

Representation Theory

32 pages

Scientific paper

Let $W$ be an extended affine Weyl group. We prove that minimal length elements $w_{\co}$ of any conjugacy class $\co$ of $W$ satisfy some special properties, generalizing results of Geck and Pfeiffer \cite{GP} on finite Weyl groups. We then introduce the "class polynomials" for affine Hecke algebra $H$ and prove that $T_{w_\co}$, where $\co$ runs over all the conjugacy classes of $W$, forms a basis of the cocenter $H/[H, H]$. We also classify the conjugacy classes satisfying a generalization of Lusztig's conjecture \cite{L4}.

Affiliated with

Also associated with

No associations

Rating

Minimal length elements of extended affine Coxeter groups, II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Minimal length elements of extended affine Coxeter groups, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimal length elements of extended affine Coxeter groups, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-393313