{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T04:56:12Z","timestamp":1648616172981},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2012,9]]},"abstract":"<jats:p> The action of the Bernstein operators on Schur functions was given in terms of codes by Carrell and Goulden (2011) and extended to the analog in Schur Q-functions in our previous work. We define a new combinatorial model of extended codes and show that both of these results follow from a natural combinatorial relation induced on codes. The new algebraic structure provides a natural setting for Schur functions indexed by compositions. <\/jats:p>","DOI":"10.1142\/s0218196712500543","type":"journal-article","created":{"date-parts":[[2012,6,14]],"date-time":"2012-06-14T13:21:42Z","timestamp":1339680102000},"page":"1250054","source":"Crossref","is-referenced-by-count":1,"title":["CODES AND SHIFTED CODES"],"prefix":"10.1142","volume":"22","author":[{"given":"J. T.","family":"HIRD","sequence":"first","affiliation":[{"name":"Department of Mathematics, West Virginia University, Institute of Technology, West Virginia 25136, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"NAIHUAN","family":"JING","sequence":"additional","affiliation":[{"name":"Department of Mathematics, North Carolina State University, North Carolina 27695, USA"},{"name":"School of Sciences, South China University of Technology, Guanghou 510640, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ERNEST","family":"STITZINGER","sequence":"additional","affiliation":[{"name":"Department of Mathematics, North Carolina State University, North Carolina 27695, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,8,31]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/s10801-009-0211-2"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00420014"},{"key":"rf3","first-page":"1665","volume":"118","author":"Haglund J.","journal-title":"J. Combin. Theory Ser. A"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196711006595"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(91)90177-A"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1090\/S1088-4165-00-00065-0"},{"key":"rf7","volume-title":"Symmetric Functions and Hall Polynomials","author":"Macdonald I. G.","year":"1998"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/PL00001398"},{"key":"rf9","volume-title":"The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions","author":"Sagan B. E.","year":"1991"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511609589"},{"key":"rf11","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0090287","volume-title":"Representations of Finite Classical Groups, A Hopf Algebra Approach","volume":"869","author":"Zelevinsky A.","year":"1981"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196712500543","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:29:33Z","timestamp":1565188173000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196712500543"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,8,31]]},"references-count":11,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2012,8,31]]},"published-print":{"date-parts":[[2012,9]]}},"alternative-id":["10.1142\/S0218196712500543"],"URL":"https:\/\/doi.org\/10.1142\/s0218196712500543","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,8,31]]}}}