{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:29Z","timestamp":1753893809308,"version":"3.41.2"},"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>We consider two partial orders on the set of standard Young tableaux. The first one is induced to this set from the weak right order on symmetric group by Robinson-Schensted algorithm.  The second one is induced to it from the dominance order on Young diagrams by considering a Young tableau as a chain of Young diagrams. We prove that these two orders of completely different nature coincide on the subset of Young tableaux with 2 columns or with 2 rows.  This fact has very interesting geometric implications for orbital varieties of nilpotent order 2 in special linear algebra $sl_n.$<\/jats:p>","DOI":"10.37236\/1918","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:12:01Z","timestamp":1578701521000},"source":"Crossref","is-referenced-by-count":2,"title":["The Combinatorics of Orbital Varieties Closures of Nilpotent Order 2 in sl${}_n$"],"prefix":"10.37236","volume":"12","author":[{"given":"Anna","family":"Melnikov","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2005,5,6]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v12i1r21\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v12i1r21\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:49:56Z","timestamp":1579304996000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v12i1r21"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,5,6]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2005,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1918","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2005,5,6]]},"article-number":"R21"}}