An Introduction to Quasisymmetric Schur Functions

Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux

Nonfiction, Science & Nature, Mathematics, Group Theory, Computers, Programming
Cover of the book An Introduction to Quasisymmetric Schur Functions by Kurt Luoto, Stephanie van Willigenburg, Stefan Mykytiuk, Springer New York
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Author: Kurt Luoto, Stephanie van Willigenburg, Stefan Mykytiuk ISBN: 9781461473008
Publisher: Springer New York Publication: June 19, 2013
Imprint: Springer Language: English
Author: Kurt Luoto, Stephanie van Willigenburg, Stefan Mykytiuk
ISBN: 9781461473008
Publisher: Springer New York
Publication: June 19, 2013
Imprint: Springer
Language: English

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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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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