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An Introduction to Quasisymmetric Schur Functions


An Introduction to Quasisymmetric Schur Functions

Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux
SpringerBriefs in Mathematics

von: Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg

69,54 €

Verlag: Springer
Format: PDF
Veröffentl.: 19.06.2013
ISBN/EAN: 9781461473008
Sprache: englisch
Anzahl Seiten: 89

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Beschreibungen

<p><i>An Introduction to Quasisymmetric Schur Functions</i> 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.<br><br></p>
<p>1. Introduction.- 2. Classical combinatorial concepts.- 3. Hopf algebras.- 4. Compsition tableaux and further combinatorial concepts.- 5. Quasisymmetric Schur functions.- References.- Index. </p>
Comprehensive introduction to quasisymmetric functions for non-specialists First summary of results in the blossoming field of quasisymmetric Schur functions using Young composition tableaux, which generalize Young tableaux? Includes supplementary material: sn.pub/extras

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