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An Introduction to Quasisymmetric Schur Functions: Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux: SpringerBriefs in Mathematics

Autor Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
en Limba Engleză Paperback – 19 iun 2013
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.


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Specificații

ISBN-13: 9781461472995
ISBN-10: 1461472997
Pagini: 104
Ilustrații: XIV, 89 p. 75 illus.
Dimensiuni: 155 x 235 x 5 mm
Greutate: 0.16 kg
Ediția:2013
Editura: Springer
Colecția Springer
Seria SpringerBriefs in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

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

Caracteristici

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