Identities for classical group characters of nearly rectangular shape

Details Identities for classical group characters of nearly rectangular shape Identities for classical group characters of nearly rectangular shape

1998-08-28

arxiv.org/abs/math/9808118v1

J. Algebra 209 (1998), 1-64

Mathematics

Representation Theory

55 pages, AmS-TeX; to appear in J. Algebra

Scientific paper

We derive several identities that feature irreducible characters of the general linear, the symplectic, the orthogonal, and the special orthogonal groups. All the identities feature characters that are indexed by shapes that are "nearly" rectangular, by which we mean that the shapes are rectangles except for one row or column that might be shorter than the others. As applications we prove new results in plane partitions and tableaux enumeration, including new refinements of the Bender-Knuth and MacMahon (ex-)conjectures.

Affiliated with

Also associated with

No associations

Rating

Identities for classical group characters of nearly rectangular shape 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 Identities for classical group characters of nearly rectangular shape, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Identities for classical group characters of nearly rectangular shape will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349418