{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T13:58:44Z","timestamp":1775483924876,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>(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 $sc_k$ ($k&gt;2$) 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 $SYT(sc_k)$.<\/jats:p>","DOI":"10.37236\/505","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:57:02Z","timestamp":1578715022000},"source":"Crossref","is-referenced-by-count":3,"title":["Promotion and Evacuation on Standard Young Tableaux of Rectangle and Staircase Shape"],"prefix":"10.37236","volume":"18","author":[{"given":"Steven","family":"Pon","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiang","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2011,1,12]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p18\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p18\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:17:53Z","timestamp":1579303073000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v18i1p18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1,12]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2011,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/505","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1,12]]},"article-number":"P18"}}