Promotion and evacuation on standard Young tableaux of rectangle and staircase shape
Skip to main content
eScholarship
Open Access Publications from the University of California

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

  • Author(s): Pon, Steven
  • Wang, Qiang
  • et al.

Published Web Location

https://arxiv.org/pdf/1003.2728.pdf
No data is associated with this publication.
Abstract

(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).

Item not freely available? Link broken?
Report a problem accessing this item