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Automorphic Representations and L-Functions for the General Linear Group : Volume 1.
・ISBN 978-0-521-47423-8 hard GB£ 118.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-97362-8
| 著者・編者 | Goldfeld, Dorian / Hundley, Joseph, |
|---|---|
| シリーズ | Cambridge Studies in Advanced Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2011 |
| ページ数 | 572 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-8437> |
解説
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.