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Automorphic Representations and L-Functions for the General Linear Group: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 129) - Hardcover
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. 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.
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Book Description
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.
About the Author
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.
- PublisherCambridge University Press
- Publication date2011
- ISBN 10 052147423X
- ISBN 13 9780521474238
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages572
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Automorphic Representations and L-Functions for the General Linear Group
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Automorphic Representations and L-Functions for the General Linear Group: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 129)
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Automorphic Representations and L-Functions for the General Linear Group: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 129)
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Automorphic Representations and L-Functions for the General Linear Group: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 129)
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ISBN 13: 9780521474238
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Automorphic Representations and L-Functions for the General Linear Group: Vol 1
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Automorphic Representations and L-Functions for the General Linear Group, Volume I
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 und. Seller Inventory # 446937020
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Automorphic Representations and L-Functions for the General Linear Group: Volume 1
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Automorphic Representations and L-functions for the General Linear Group: Volume 1 (Hardcover)
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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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521474238
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Automorphic Representations and L-Functions for the General Linear Group, Volume I
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ISBN 10: 052147423X
ISBN 13: 9780521474238
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Buch. Condition: Neu. 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. Seller Inventory # 9780521474238
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