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Mathematics - Computational Science & Engineering | An Introduction to Quasisymmetric Schur Functions - Hopf Algebras, Quasisymmetric Functions, and

An Introduction to Quasisymmetric Schur Functions

Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux

Luoto, Kurt, Mykytiuk, Stefan, van Willigenburg, Stephanie

2013, XIV, 89 p. 75 illus.

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  • ​​​​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​

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.

Content Level » Research

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

Related subjects » Algebra - Applications - Computational Science & Engineering

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