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Luoto, Kurt.
An Introduction to Quasisymmetric Schur Functions Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux / [electronic resource] : by Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg. - XIV, 89 p. 75 illus. online resource. - SpringerBriefs in Mathematics, 2191-8198 .
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.
9781461473008
Mathematics.
Topological Groups.
Algorithms.
Combinatorics.
Mathematics.
Algorithms.
Topological Groups, Lie Groups.
Applications of Mathematics.
Combinatorics.
QA76.9.A43
518.1
An Introduction to Quasisymmetric Schur Functions Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux / [electronic resource] : by Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg. - XIV, 89 p. 75 illus. online resource. - SpringerBriefs in Mathematics, 2191-8198 .
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.
9781461473008
Mathematics.
Topological Groups.
Algorithms.
Combinatorics.
Mathematics.
Algorithms.
Topological Groups, Lie Groups.
Applications of Mathematics.
Combinatorics.
QA76.9.A43
518.1