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.]

Contributor(s):

Material type: Text

TextSeries: SpringerBriefs in MathematicsPublisher: New York, NY : Springer New York : Imprint: Springer, 2013Description: XIV, 89 p. 75 illus. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781461473008

Subject(s):

Additional physical formats: Printed edition:: No titleDDC classification:

518.1 23

LOC classification:

QA76.9.A43

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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