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An Introduction to Quasisymmetric Schur Functions [electronic resource] :Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux / by Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg.

by Luoto, Kurt [author.]; Mykytiuk, Stefan [author.]; van Willigenburg, Stephanie [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: SpringerBriefs in Mathematics: Publisher: New York, NY : Springer New York : 2013.Description: XIV, 89 p. 75 illus. online resource.ISBN: 9781461473008.Subject(s): Mathematics | Topological Groups | Algorithms | Combinatorics | Mathematics | Algorithms | Topological Groups, Lie Groups | Applications of Mathematics | CombinatoricsDDC classification: 518.1 Online resources: Click here to access online
Contents:
1. Introduction -- 2. Classical combinatorial concepts -- 3. Hopf algebras -- 4. Compsition tableaux and further combinatorial concepts -- 5. Quasisymmetric Schur functions -- References -- Index.
In: Springer eBooksSummary: 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.
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1. Introduction -- 2. Classical combinatorial concepts -- 3. Hopf algebras -- 4. Compsition 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.

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