Geodesic
Promotion and evacuation on standard Young tableaux of rectangle and staircase shape
The electronic journal of combinatorics, Tome 18 (2011) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

(Dual-)promotion and (dual-)evacuation are bijections on $SYT(\lambda)$ for any partition $\lambda$. Let $c^r$ denote the rectangular partition $(c,\ldots,c)$ of height $r$, and let $sc_k$ ($k>2$) denote the staircase partition $(k,k-1,\ldots,1)$. We demonstrate a promotion- and evacuation-preserving embedding of $SYT(sc_k)$ into $SYT(k^{k+1})$. We hope that this result, together with results by Rhoades on rectangular tableaux, can help to demonstrate the cyclic sieving phenomenon of promotion action on $SYT(sc_k)$.
DOI : 10.37236/505
Classification : 05E18
Mots-clés : standard Young tableaux, promotion, evacuation, staircase partition, cyclic sieving 
@article{10_37236_505,
     author = {Steven Pon and Qiang Wang},
     title = {Promotion and evacuation on standard {Young} tableaux of rectangle and staircase shape},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/505},
     zbl = {1219.05198},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/505/}
}
TY  - JOUR
AU  - Steven Pon
AU  - Qiang Wang
TI  - Promotion and evacuation on standard Young tableaux of rectangle and staircase shape
JO  - The electronic journal of combinatorics
PY  - 2011
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/505/
DO  - 10.37236/505
ID  - 10_37236_505
ER  - 
%0 Journal Article
%A Steven Pon
%A Qiang Wang
%T Promotion and evacuation on standard Young tableaux of rectangle and staircase shape
%J The electronic journal of combinatorics
%D 2011
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/505/
%R 10.37236/505
%F 10_37236_505
Steven Pon; Qiang Wang. Promotion and evacuation on standard Young tableaux of rectangle and staircase shape. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/505

Cité par Sources :