Advertisement

An Introduction to Quasisymmetric Schur Functions

Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux

  • Kurt Luoto
  • Stefan Mykytiuk
  • Stephanie van Willigenburg
Book

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
    Pages 1-3
  3. Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
    Pages 5-17
  4. Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
    Pages 19-50
  5. Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
    Pages 51-62
  6. Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
    Pages 63-81
  7. Back Matter
    Pages 83-89

About this book

Introduction

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.

Keywords

Algebraic combinatorics Young tableaux combinatorial Hopf algebras composition tableaux noncommutative symmetric functions quasisymmetric Schur functions

Authors and affiliations

  • Kurt Luoto
    • 1
  • Stefan Mykytiuk
    • 2
  • Stephanie van Willigenburg
    • 3
  1. 1., Dept. of MathematicsUniversity of British ColumbiaVancouver,Canada
  2. 2., Dept. of Mathematics and StatistcsYork UniversityTorontoCanada
  3. 3., Dept. of MathematicsUniversity of British ColumbiaVancouver,Canada

Bibliographic information