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

Goldfeld, Dorian; Hundley, Joseph

ISBN 10: 1107007992 ISBN 13: 9781107007994
Published by Cambridge University Press, 2011
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Synopsis:

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

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.

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Bibliographic Details

Title: Automorphic Representations and L-Functions ...
Publisher: Cambridge University Press
Publication Date: 2011
Binding: Hardcover
Condition: good

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Hardcover. Condition: new. Hardcover. 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. This modern approach to the theory of automorphic representations keeps definitions to a minimum, focusing instead on providing concrete examples and detailed proofs of the key theorems. This book is the perfect introduction for students at the advanced undergraduate level and beyond, and for researchers new to the field. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9781107007994

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Hardcover. Condition: new. Hardcover. 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. This modern approach to the theory of automorphic representations keeps definitions to a minimum, focusing instead on providing concrete examples and detailed proofs of the key theorems. This book is the perfect introduction for students at the advanced undergraduate level and beyond, and for researchers new to the field. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781107007994

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