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Automorphic representations and L-fu...

Goldfeld, D.

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Automorphic representations and L-functions for the general linear group.. Volume 2

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Automorphic representations and L-functions for the general linear group./ Dorian Goldfeld, Joseph Hundley ; with exercises by Xander Faber.
其他題名:	Automorphic Representations & L-Functions for the General Linear Group
作者:	Goldfeld, D.
其他作者:	Hundley, Joseph.
出版者:	Cambridge :Cambridge University Press, : 2011.,
面頁冊數:	xix, 188 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Automorphic forms. -
電子資源:	https://doi.org/10.1017/CBO9780511910531
ISBN:	9780511910531

Automorphic representations and L-functions for the general linear group.. Volume 2
Goldfeld, D.

Automorphic representations and L-functions for the general linear group.Volume 2[electronic resource] /Automorphic Representations & L-Functions for the General Linear GroupDorian Goldfeld, Joseph Hundley ; with exercises by Xander Faber. - Cambridge :Cambridge University Press,2011. - xix, 188 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;130. - Cambridge studies in advanced mathematics ;130..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511910531Subjects--Topical Terms:

576006
Automorphic forms.

LC Class. No.: QA331 / .G654 2011

Dewey Class. No.: 515.9

Automorphic representations and L-functions for the general linear group.. Volume 2
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520 $a 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.
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