{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:16Z","timestamp":1753893856943,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We establish the existence of an irreducible representation of $A_n$\u00a0whose dimension does not occur as the dimension of an irreducible representation of $S_n$, and vice versa. This proves a conjecture by Tong-Viet. The main ingredient in the proof is a result on large prime factors in short intervals.\u00a0<\/jats:p>","DOI":"10.37236\/4909","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T20:18:44Z","timestamp":1578687524000},"source":"Crossref","is-referenced-by-count":0,"title":["Dimensions of the Irreducible Representations of the Symmetric and Alternating Group"],"prefix":"10.37236","volume":"23","author":[{"given":"Korneel","family":"Debaene","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2016,9,30]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i3p49\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i3p49\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:16:29Z","timestamp":1579238189000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v23i3p49"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,30]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2016,7,8]]}},"URL":"https:\/\/doi.org\/10.37236\/4909","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2016,9,30]]},"article-number":"P3.49"}}