Defect of characters of the symmetric group

Details Defect of characters of the symmetric group Defect of characters of the symmetric group

2009-02-13

arxiv.org/abs/0902.2349v1

J. Group Theory 12 (2009), 803-812

Mathematics

Representation Theory

To appear in Journal of Group Theory, 10 pages

Scientific paper

Following the work of B. Kuelshammer, J. B. Olsson and G. R. Robinson on generalized blocks of the symmetric groups, we give a definition for the \ell-defect of characters of the symmetric group S_n, where \ell > 1 is an arbitrary integer. We prove that the \ell -defect is given by an analogue of the hook-length formula, and use it to prove, when n < \ell^2, an \ell-version of the McKay Conjecture in S_n .

Affiliated with

Also associated with

No associations

Rating

Defect of characters of the symmetric 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 Defect of characters of the symmetric group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Defect of characters of the symmetric group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-357814