Invariant tensors and the cyclic sieving phenomenon

Details Invariant tensors and the cyclic sieving phenomenon Invariant tensors and the cyclic sieving phenomenon

2009-12-08

arxiv.org/abs/0912.1512v2

Mathematics

Representation Theory

Scientific paper

The problem of finding the orbit structure of the promotion map acting on standard tableaux with rectangular shape was solved by Rhoades using Springer's theory of regular elements and the Khazdan-Lusztig basis. This paper extends this result by replacing the vector representation of $\SL(n)$ by any highest weight representation of a simple Lie algebra. The promotion map is defined using crystal graphs. The orbit structure is determined using Springer's theory of regular elements and Lusztig's theory of based modules.

Affiliated with

Also associated with

No associations

Rating

Invariant tensors and the cyclic sieving phenomenon 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 Invariant tensors and the cyclic sieving phenomenon, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariant tensors and the cyclic sieving phenomenon will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-386039