An Introduction to Quasisymmetric Schur Functions Including the Hopf Algebra of Quasisymmetric Functions and the Combinatorics of Young Composition Tableaux

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.

Riassunto

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.

Dettagli sul prodotto

• Autori: Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg, Stephanie van Willigenburg, Kur Luoto, Stefa Mykytiuk, Ste van Willigenburg
• Editore: Springer, Berlin
• Lingue: Inglese
• Contenuto: Libro
• Forma del prodotto: Tascabile
• Data pubblicazione: 07.03.2013
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Teoria delle probabilità, stocastica, statistica m
• EAN: 9781461472995
• ISBN: 978-1-4614-7299-5
• Numero di pagine: 89
• Illustrazioni: XIV, 89 p. 75 illus.
• Dimensioni (della confezione): 15.6 x 23.9 x 0.8 cm
• Peso (della confezione): 172 g
• Serie: SpringerBriefs in Mathematics; SpringerBriefs in Mathematics
• Categorie: C, Algorithms, Combinatorics, Mathematics and Statistics, Applications of Mathematics, Discrete Mathematics, Combinatorics & graph theory, Topological Groups, Lie Groups, Topological groups, Lie groups, Topological Groups and Lie Groups, Groups & group theory, Engineering mathematics, Applied mathematics