An Introduction to Quasisymmetric Schur Functions, 1st Edition

  • Published By:
  • ISBN-10: 1461473004
  • ISBN-13: 9781461473008
  • DDC: 515.9
  • Grade Level Range: College Freshman - College Senior
  • 89 Pages | eBook
  • Original Copyright 2013 | Published/Released May 2014
  • This publication's content originally published in print form: 2013

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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.

Table of Contents

Front Cover.
Series Editors.
Title Page.
Copyright Page.
1: Introduction.
2: Classical Combinatorial Concepts.
3: Hopf Algebras.
4: Composition Tableaux and Further Combinatorial Concepts.
5: Quasisymmetric Schur Functions.