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Automorphic Representations and L-Functions for the General Linear Group: Volume 2: Cambridge Studies in Advanced Mathematics, cartea 130

Autor Dorian Goldfeld, Joseph Hundley
en Limba Engleză Hardback – 20 apr 2011
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.
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Specificații

ISBN-13: 9781107007994
ISBN-10: 1107007992
Pagini: 210
Ilustrații: 55 exercises
Dimensiuni: 152 x 229 x 13 mm
Greutate: 0.43 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Studies in Advanced Mathematics

Locul publicării:New York, United States

Cuprins

Preface; 1. The classical theory of automorphic forms for GL(n,R); 2. Automorphic forms and representations for GL(n,AQ); 3. Theory of local representations for GL(n); 4. The Godement–Jacquet L-function for GL(n,AQ); Solutions to selected exercises; References; Symbols index; Index.

Recenzii

"Much of the material presented here is not easily available elsewhere. This brief volume will be of value to mathematicians seeking an introduction to the theory of automorphic forms, automorphic representationa, and L-functions."
Solomon Friedberg for Mathematical Reviews

Notă biografică


Descriere

This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and exercises.