02599nam 2200589Ia 450 991073941980332120251116202047.09781461473008146147300410.1007/978-1-4614-7300-8(OCoLC)851443722(MiFhGG)GVRL6VYN(CKB)2670000000387778(MiAaPQ)EBC1317523(MiFhGG)9781461473008(EXLCZ)99267000000038777820130705d2013 uy 0engurun|---uuuuatxtccrAn introduction to quasisymmetric Schur functions HOPF algebras, quasisymmetric functions, and young composition tableaux /Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg1st ed. 2013.New York Springerc20131 online resource (xiv, 89 pages) illustrationsSpringerBriefs in mathematics ;v. 7"ISSN: 2191-8198.""ISSN: 2191-8201 (electronic)."9781461472995 1461472997 Includes bibliographical references and index.1. Introduction -- 2. Classical combinatorial concepts -- 3. Hopf algebras -- 4. Composition tableaux and further combinatorial concepts -- 5. Quasisymmetric Schur functions -- References -- Index.An Introduction to Quasisymmetric Schur Functions is aimed at researchers and graduate students in algebraic combinatorics. The goal of this monograph is twofold. The first goal is to provide a reference text for the basic theory of Hopf algebras, in particular the Hopf algebras of symmetric, quasisymmetric and noncommutative symmetric functions and connections between them. The second goal is to give a survey of results with respect to an exciting new basis of the Hopf algebra of quasisymmetric functions, whose combinatorics is analogous to that of the renowned Schur functions.SpringerBriefs in mathematics.Schur functionsHopf algebrasCombinatorial analysisSchur functions.Hopf algebras.Combinatorial analysis.511.6Luoto Kurt1424058Mykytiuk Stefan1751812Willigenburg Stephanie van1870051MiAaPQMiAaPQMiAaPQBOOK9910739419803321An introduction to quasisymmetric Schur functions4478372UNINA