An introduction to quasisymmetric Schur functions [electronic resource] : Hopf algebras, quasisymmetric functions, and Young composition tableaux /
Luoto, Kurt.author.
Mykytiuk, Stefan.author.
van Willigenburg, Stephanie.author.
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.
Description based upon print version of record.
Includes bibliographical references and index.
1. Introduction -- 2. Classical combinatorial concepts -- 3. Hopf algebras -- 4. Compsition tableaux and further combinatorial concepts -- 5. Quasisymmetric Schur functions -- References -- Index.
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.
Algorithms.
Topological groups.
Lie groups.
Applied mathematics.
Engineering mathematics.
Combinatorics.
Algorithms.
Topological Groups, Lie Groups.
Applications of Mathematics.
Combinatorics.