Promotion and evacuation on standard Young tableaux of rectangle and staircase shape

Details Promotion and evacuation on standard Young tableaux of rectangle and staircase shape Promotion and evacuation on standard Young tableaux of rectangle and staircase shape

2010-03-13

arxiv.org/abs/1003.2728v3

Mathematics

Combinatorics

14 pages, typos corrected

Scientific paper

(Dual-)promotion and (dual-)evacuation are bijections on SYT(\lambda) for any partition \lambda. Let c^r denote the rectangular partition (c,...,c) of height r, and let sc_k (k > 2) denote the staircase partition (k,k-1,...,1). B. Rhoades showed representation-theoretically that promotion on SYT(c^r) exhibits the cyclic sieving phenomenon (CSP). In this paper, we demonstrate a promotion- and evacuation-preserving embedding of SYT(sc_k) into SYT(k^{k+1}). This arose from an attempt to demonstrate the CSP of promotion action on SYT(sc_k).

Affiliated with

Also associated with

No associations

Rating

Promotion and evacuation on standard Young tableaux of rectangle and staircase 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 Promotion and evacuation on standard Young tableaux of rectangle and staircase shape, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Promotion and evacuation on standard Young tableaux of rectangle and staircase shape will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-192240