Automorphic Representations and L-Functions for the General Linear Group, Volume I

Dorian Goldfeld

ISBN 10: 052147423X / ISBN 13: 9780521474238

Edité par Cambridge University Press, 2011

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Druck auf Anfrage Neuware - Printed after ordering - This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and over 250 exercises. N° de réf. du vendeur 9780521474238

Détails bibliographiques

Titre : Automorphic Representations and L-Functions ...

Éditeur : Cambridge University Press

Date d'édition : 2011

Reliure : Buch

Etat : Neu

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Synopsis :

Book by Goldfeld Dorian Hundley Joseph

Présentation de l'éditeur:

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.