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An Introduction to Quasisymmetric Schur Functions

Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux

Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg (Autoren)

Buch | Softcover

89 Seiten

2013 | 2013 ed.
Springer-Verlag New York Inc.
978-1-4614-7299-5 (ISBN)

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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.

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

Erscheint lt. Verlag	19.6.2013
Reihe/Serie	SpringerBriefs in Mathematics
Zusatzinfo	75 Illustrations, black and white; XIV, 89 p. 75 illus.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Algorithmen
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Algebraic combinatorics • combinatorial Hopf algebras • composition tableaux • noncommutative symmetric functions • quasisymmetric Schur functions • Young tableaux
ISBN-10	1-4614-7299-7 / 1461472997
ISBN-13	978-1-4614-7299-5 / 9781461472995
Zustand	Neuware