Representation Theory of the Symmetric Groups: The Okounkov-Vershik Approach, Character Formulas, and Partition Algebras - Couverture rigide

Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo

Couverture rigide

ISBN 10 : 0521118174 ISBN 13 : 9780521118170

Editeur : Cambridge University Press, 2010

Synopsis

The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the Littlewood–Richardson rule and the Schur–Weyl duality. Importantly the authors also present many recent advances in the area, including Lassalle's character formulas, the theory of partition algebras, and an exhaustive exposition of the approach developed by A. M. Vershik and A. Okounkov. A wealth of examples and exercises makes this an ideal textbook for graduate students. It will also serve as a useful reference for more experienced researchers across a range of areas, including algebra, computer science, statistical mechanics and theoretical physics.

A propos du livre

À propos des auteurs

Tullio Ceccherini-Silberstein is Professor in the Faculty of Engineering at the University of Sannio, Benevento.

Fabio Scarabotti is Professor in the Faculty of Engineering at the University of Rome 'La Sapienza'.

Filippo Tolli is Associate Professor in the Department of Mathematics at Roma Tre University.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 0521118174
• ISBN 13: 9780521118170
• Reliure: Relié
• Nombre de pages: 430
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France