Automorphic Representations and L-Functions for the General Linear Group: Volume 1 (Hardcover) (ISBN-13: 9780521474238)

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. The authors keep definitions to a minimum and repeat them when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. They also include concrete examples of both global and local representations of GL(n), and present their associated L-functions. The theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several of the proofs are here presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. Finally, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises, this book will motivate students and researchers to begin working in this fertile field of research.

Author: Dorian Goldfeld, Joseph Hundley
ISBN-10: 052147423X
ISBN-13: 9780521474238
Publisher: Cambridge University Press
Language: English
Published: 04/21/2011
Pages: 572
Format: Hardcover
Weight: 2.05lbs
Size: 8.90h x 5.90w x 1.30d