An Introduction to Quasisymmetric Schur Functions

Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux
2013
ISBN: 978-1-4614-7299-5
Verlag: Springer

Buch, Englisch, 89 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1708 g

Reihe: SpringerBriefs in 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, 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.

Zielgruppe

Research

Autoren/Hrsg.

Luoto, Kurt

Willigenburg, Stephanie van

Mykytiuk, Stefan

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

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