{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:18:54Z","timestamp":1759335534787,"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 show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative variables. In particular this isomorphism singles out a canonical new basis of the symmetric functions in noncommutative variables which would be an analogue of the Schur function basis for this bialgebra.<\/jats:p>","DOI":"10.37236\/1101","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T23:58:52Z","timestamp":1578700732000},"source":"Crossref","is-referenced-by-count":10,"title":["Grothendieck Bialgebras, Partition Lattices, and Symmetric Functions in Noncommutative Variables"],"prefix":"10.37236","volume":"13","author":[{"given":"N.","family":"Bergeron","sequence":"first","affiliation":[]},{"given":"C.","family":"Hohlweg","sequence":"additional","affiliation":[]},{"given":"M.","family":"Rosas","sequence":"additional","affiliation":[]},{"given":"M.","family":"Zabrocki","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2006,8,25]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r75\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r75\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:08:14Z","timestamp":1579302494000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v13i1r75"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,8,25]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2006,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1101","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2006,8,25]]},"article-number":"R75"}}