{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T14:00:23Z","timestamp":1772373623441,"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>Fix a rectangular Young diagram $R$, and consider all the products of Schur functions  $s_\\lambda s_\\lambda^{c}$, where $\\lambda$ and $\\lambda^{c}$ run over all (unordered) pairs of partitions which are complementary with respect to $R$.   Theorem: The self-complementary products, $s_\\lambda^2$ where $\\lambda=\\lambda^{c}$, are  linearly independent of all other $s_\\lambda s_\\lambda^{c}$.   Conjecture: The products $s_\\lambda s_\\lambda^{c}$ are all linearly independent.<\/jats:p>","DOI":"10.37236\/1655","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:25:16Z","timestamp":1578709516000},"source":"Crossref","is-referenced-by-count":1,"title":["Linearly Independent Products of  Rectangularly Complementary  Schur Functions"],"prefix":"10.37236","volume":"9","author":[{"given":"Michael","family":"Kleber","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2002,9,16]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v9i1r39\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v9i1r39\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:13:23Z","timestamp":1579324403000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v9i1r39"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,9,16]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2002,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1655","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,9,16]]},"article-number":"R39"}}