Deformations of permutation representations of Coxeter groups

Details Deformations of permutation representations of Coxeter groups Deformations of permutation representations of Coxeter groups

2010-08-05

arxiv.org/abs/1008.1037v1

Mathematics

Combinatorics

44 pages

Scientific paper

The permutation representation afforded by a Coxeter group W acting on the cosets of a standard parabolic subgroup inherits many nice properties from W such as a shellable Bruhat order and a flat deformation over Z[q] to a representation of the corresponding Hecke algebra. In this paper we define a larger class of ``quasiparabolic" subgroups (more generally, quasiparabolic W-sets), and show that they also inherit these properties. Our motivating example is the action of the symmetric group on fixed-point-free involutions by conjugation.

Affiliated with

Also associated with

No associations

Rating

Deformations of permutation representations of Coxeter groups 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 Deformations of permutation representations of Coxeter groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deformations of permutation representations of Coxeter groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-438976