Cambridge Studies in Advanced Mathematics Ser.: Automorphic Representations and L-Functions for the General Linear Group by Joseph Hundley and Dorian Goldfeld (2011, Hardcover)

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Automorphic Representations and L-Functions for the General Linear Group, Hardcover by Goldfeld, Dorian; Hundley, Joseph; Faber, Xander (CON), ISBN 1107007992, ISBN-13 9781107007994, Brand New, Free shipping in the US

About this product

Product Identifiers

PublisherCambridge University Press
ISBN-101107007992
ISBN-139781107007994
eBay Product ID (ePID)102898725

Product Key Features

Number of Pages210 Pages
Publication NameAutomorphic Representations and L-Functions for the General Linear Group
LanguageEnglish
Publication Year2011
SubjectGroup Theory, Algebra / General, Number Theory
TypeTextbook
Subject AreaMathematics
AuthorJoseph Hundley, Dorian Goldfeld
SeriesCambridge Studies in Advanced Mathematics Ser.
FormatHardcover

Dimensions

Item Height0.5 in
Item Weight15.9 Oz
Item Length9 in
Item Width6 in

Additional Product Features

Intended AudienceScholarly & Professional
Reviews"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
Dewey Edition22
Series Volume NumberSeries Number 130
Number of Volumes2 vols.
Volume NumberVol. 2
IllustratedYes
Dewey Decimal515.9
Table Of ContentPreface; 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.
SynopsisThis modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and exercises., 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.
LC Classification NumberQA246

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