On Stanley's Inequalities for Character Multiplicities

Details On Stanley's Inequalities for Character Multiplicities On Stanley's Inequalities for Character Multiplicities

2011-10-23

arxiv.org/abs/1110.5041v1

Mathematics

Group Theory

A short paper of 7 pages

Scientific paper

Let G be a group of automorphisms of a ranked poset Q and let N_{k} denote the number of orbits on the elements of rank k in Q. What can be said about the N_{k} for standard posets, such as finite projective spaces or the Boolean lattice? We discuss the connection of this question to the representation theory of the group, and in particular to the inequalities of Livingstone-Wagner and Stanley. We show that these are special cases of more general inequalities which depend on the prime divisors of the group order. The new inequalities often yield stronger bounds depending on the order of the group.

Affiliated with

Also associated with

No associations

Rating

On Stanley's Inequalities for Character Multiplicities 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 On Stanley's Inequalities for Character Multiplicities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Stanley's Inequalities for Character Multiplicities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-526855