Automorphic Representations and L-Functions for the General Linear Group: Volume 1 - Couverture rigide

Goldfeld, Dorian; Hundley, Joseph

Couverture rigide

ISBN 10 : 052147423X ISBN 13 : 9780521474238

Editeur : Cambridge University Press, 2011

Synopsis

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.

A propos du livre

À propos des auteurs

Dorian Goldfeld is a Professor in the Department of Mathematics at Columbia University, New York.

Joseph Hundley is an Assistant Professor in the Department of Mathematics at Southern Illinois University, Carbondale.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 052147423X
• ISBN 13: 9780521474238
• Reliure: Relié
• Nombre de pages: 572
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France