LEADER 02599nam 2200589Ia 450 001 9910739419803321 005 20251116202047.0 010 $a9781461473008 010 $a1461473004 024 7 $a10.1007/978-1-4614-7300-8 035 $a(OCoLC)851443722 035 $a(MiFhGG)GVRL6VYN 035 $a(CKB)2670000000387778 035 $a(MiAaPQ)EBC1317523 035 $a(MiFhGG)9781461473008 035 $a(EXLCZ)992670000000387778 100 $a20130705d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 13$aAn introduction to quasisymmetric Schur functions $eHOPF algebras, quasisymmetric functions, and young composition tableaux /$fKurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg 205 $a1st ed. 2013. 210 $aNew York $cSpringer$dc2013 215 $a1 online resource (xiv, 89 pages) $cillustrations 225 0$aSpringerBriefs in mathematics ;$vv. 7 300 $a"ISSN: 2191-8198." 300 $a"ISSN: 2191-8201 (electronic)." 311 08$a9781461472995 311 08$a1461472997 320 $aIncludes bibliographical references and index. 327 $a1. Introduction -- 2. Classical combinatorial concepts -- 3. Hopf algebras -- 4. Composition tableaux and further combinatorial concepts -- 5. Quasisymmetric Schur functions -- References -- Index. 330 $aAn Introduction to Quasisymmetric Schur Functions is aimed at researchers and graduate students in algebraic combinatorics. The goal of this monograph is twofold. The first goal is to provide a reference text for the basic theory of Hopf algebras, in particular the Hopf algebras of symmetric, quasisymmetric and noncommutative symmetric functions and connections between them. The second goal is to give a survey of results with respect to an exciting new basis of the Hopf algebra of quasisymmetric functions, whose combinatorics is analogous to that of the renowned Schur functions. 410 0$aSpringerBriefs in mathematics. 606 $aSchur functions 606 $aHopf algebras 606 $aCombinatorial analysis 615 0$aSchur functions. 615 0$aHopf algebras. 615 0$aCombinatorial analysis. 676 $a511.6 700 $aLuoto$b Kurt$01424058 701 $aMykytiuk$b Stefan$01751812 701 $aWilligenburg$b Stephanie van$01870051 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910739419803321 996 $aAn introduction to quasisymmetric Schur functions$94478372 997 $aUNINA