An Introduction to Quasisymmetric Schur Functions Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux /

• Main Authors: Luoto, Kurt (Author), Mykytiuk, Stefan (Author), van Willigenburg, Stephanie (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Topological groups.; Lie groups.; Applied mathematics.; Engineering mathematics.; Algorithms.; Combinatorics.; Topological Groups, Lie Groups.; Applications of Mathematics.

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, quasis...

Table of Contents:

• 1. Introduction
• 2. Classical combinatorial concepts
• 3. Hopf algebras
• 4. Compsition tableaux and further combinatorial concepts
• 5. Quasisymmetric Schur functions
• References
• Index.