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An Introduction to Quasisymmetric Schur Functions: Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux
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Catalogue Information
Field name
Details
Dewey Class
518.1
Title
An Introduction to Quasisymmetric Schur Functions ([Ebook]) : Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux / by Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg.
Author
Luoto, Kurt
Added Personal Name
Mykytiuk, Stefan
van Willigenburg, Stephanie
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer
, 2013.
Physical Details
XIV, 89 pages : 75 illus. : online resource.
Series
SpringerBriefs in Mathematics
2191-8198
ISBN
9781461473008
Summary Note
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.:
Contents note
1. Introduction -- 2. Classical combinatorial concepts -- 3. Hopf algebras -- 4. Compsition tableaux and further combinatorial concepts -- 5. Quasisymmetric Schur functions -- References -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-1-4614-7300-8
Links to Related Works
Subject References:
Algorithms
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Applications of Mathematics
.
Combinatorics
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Mathematics
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Schur functions
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Topological groups
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Topological groups, Lie groups
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Authors:
author
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Luoto, Kurt
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Mykytiuk, Stefan
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van Willigenburg, Stephanie
.
Corporate Authors:
SpringerLink (Online service)
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Series:
SpringerBriefs in Mathematics
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Classification:
518.1
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518.1 (DDC23)
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