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  • © 2013

An Introduction to Quasisymmetric Schur Functions

Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux

  • 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

Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiv
  2. Introduction

    • Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
    Pages 1-3
  3. Classical combinatorial concepts

    • Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
    Pages 5-17
  4. Hopf algebras

    • Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
    Pages 19-50
  5. Composition tableaux and further combinatorial concepts

    • Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
    Pages 51-62
  6. Quasisymmetric Schur functions

    • Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
    Pages 63-81
  7. Back Matter

    Pages 83-89

About this book

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.

Authors and Affiliations

  • , Dept. of Mathematics, University of British Columbia, Vancouver,, Canada

    Kurt Luoto, Stephanie van Willigenburg

  • , Dept. of Mathematics and Statistcs, York University, Toronto, Canada

    Stefan Mykytiuk

Bibliographic Information

  • Book Title: An Introduction to Quasisymmetric Schur Functions

  • Book Subtitle: Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux

  • Authors: Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg

  • Series Title: SpringerBriefs in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4614-7300-8

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg 2013

  • Softcover ISBN: 978-1-4614-7299-5Published: 19 June 2013

  • eBook ISBN: 978-1-4614-7300-8Published: 19 June 2013

  • Series ISSN: 2191-8198

  • Series E-ISSN: 2191-8201

  • Edition Number: 1

  • Number of Pages: XIV, 89

  • Number of Illustrations: 75 b/w illustrations

  • Topics: Algorithms, Topological Groups, Lie Groups, Applications of Mathematics, Combinatorics

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access