The absolute order of a permutation representation of a Coxeter group

Details The absolute order of a permutation representation of a Coxeter group The absolute order of a permutation representation of a Coxeter group

2011-12-05

arxiv.org/abs/1112.0856v1

Mathematics

Combinatorics

23 pages, 1 figure

Scientific paper

A permutation representation of a Coxeter group $W$ naturally defines an absolute order. This family of partial orders (which includes the absolute order on $W$) is introduced and studied in this paper. Conditions under which the associated rank generating polynomial divides the rank generating polynomial of the absolute order on $W$ are investigated when $W$ is finite. Several examples, including a symmetric group action on perfect matchings, are discussed. As an application, a well-behaved absolute order on the alternating subgroup of $W$ is defined.

Affiliated with

Also associated with

No associations

Rating

The absolute order of a permutation representation of a Coxeter group 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 The absolute order of a permutation representation of a Coxeter group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The absolute order of a permutation representation of a Coxeter group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-393612