An Introduction to Quasisymmetric Schur Functions - Including the Hopf Algebra of Quasisymmetric Functions and the Combinatorics of Young Composition 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.

Inhaltsverzeichnis

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

Zusammenfassung

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.

Produktdetails

• Autoren: Kur Luoto, Kurt Luoto, Stefa Mykytiuk, Stefan Mykytiuk, Ste van Willigenburg, Stephanie van Willigenburg, Stephanie van Willigenburg
• Verlag: Springer, Berlin
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 07.03.2013
• EAN: 9781461472995
• ISBN: 978-1-4614-7299-5
• Seiten: 89
• Abmessung: 156 mm x 239 mm x 8 mm
• Gewicht: 172 g
• Illustration: XIV, 89 p. 75 illus.
• Serien: SpringerBriefs in Mathematics; SpringerBriefs in Mathematics
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; C, Algorithms, Combinatorics, Mathematics and Statistics, Applications of Mathematics, Discrete Mathematics, Combinatorics & graph theory, Topological Groups, Lie Groups, Topological groups, Lie groups, Topological Groups and Lie Groups, Groups & group theory, Engineering mathematics, Applied mathematics