Automorphic Representations and L-Functions for the General Linear Group: Volume 2 - Dorian Goldfeld, Joseph Hundley

Automorphic Representations and L-Functions for the General Linear Group: Volume 2

Buch | Hardcover
210 Seiten
2011
Cambridge University Press (Verlag)
978-1-107-00799-4 (ISBN)
115,95 inkl. MwSt
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 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.

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.

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.

Reihe/Serie Cambridge Studies in Advanced Mathematics
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 152 x 229 mm
Gewicht 450 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 1-107-00799-2 / 1107007992
ISBN-13 978-1-107-00799-4 / 9781107007994
Zustand Neuware
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