{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:50Z","timestamp":1753893830501,"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>In this paper I introduce a new description of the crystal $B(\\Lambda_0)$  of $\\widehat{\\mathfrak{sl}}_\\ell$.  As in  the Misra-Miwa model of $B(\\Lambda_0)$, the nodes of this crystal are indexed by partitions and the $i$-arrows correspond to adding a box of residue $i$. I then show that the two models are equivalent by interpreting the operation of regularization introduced by James as a crystal isomorphism.<\/jats:p>","DOI":"10.37236\/369","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:11:32Z","timestamp":1578715892000},"source":"Crossref","is-referenced-by-count":0,"title":["The Ladder Crystal"],"prefix":"10.37236","volume":"17","author":[{"given":"Chris","family":"Berg","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2010,7,10]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r97\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r97\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:50:26Z","timestamp":1579305026000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v17i1r97"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,7,10]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2010,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/369","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2010,7,10]]},"article-number":"R97"}}