Overview
- Comprehensive introduction to quasisymmetric functions for non-specialists
- First summary of results in the blossoming field of quasisymmetric
- Schur functions using Young composition tableaux, which generalize Young tableaux?
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (5 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: An Introduction to Quasisymmetric Schur Functions
Book Subtitle: Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux
Authors: Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-1-4614-7300-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg 2013
Softcover ISBN: 978-1-4614-7299-5Published: 19 June 2013
eBook ISBN: 978-1-4614-7300-8Published: 19 June 2013
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XIV, 89
Number of Illustrations: 75 b/w illustrations
Topics: Algorithms, Topological Groups, Lie Groups, Applications of Mathematics, Combinatorics