Automorphic Representations and L-Functions for the General Linear Group: Volume 2 (Cambridge Studies in Advanced Mathematics, Series Number 130) - Hardcover

Goldfeld, Dorian; Hundley, Joseph

 
9781107007994: Automorphic Representations and L-Functions for the General Linear Group: Volume 2 (Cambridge Studies in Advanced Mathematics, Series Number 130)
Hardcover
ISBN 10: 1107007992 ISBN 13: 9781107007994
Publisher: 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, this book will motivate students and researchers to begin working in this fertile field of research.

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About the Authors

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.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2011
Language
English
ISBN 10 
1107007992
ISBN 13 
9781107007994
Binding
Hardcover
Edition number
1
Number of pages
210