Format:
1 online resource
ISBN:
9781400882403
,
9780691085180
Series Statement:
Annals of Mathematics Studies number 120
Content:
A general principle, discovered by Robert Langlands and named by him the "functoriality principle," predicts relations between automorphic forms on arithmetic subgroups of different reductive groups. Langlands functoriality relates the eigenvalues of Hecke operators acting on the automorphic forms on two groups (or the local factors of the "automorphic representations" generated by them). In the few instances where such relations have been probed, they have led to deep arithmetic consequences. This book studies one of the simplest general problems in the theory, that of relating automorphic forms on arithmetic subgroups of GL(n,E) and GL(n,F) when E/F is a cyclic extension of number fields. (This is known as the base change problem for GL(n).) The problem is attacked and solved by means of the trace formula. The book relies on deep and technical results obtained by several authors during the last twenty years. It could not serve as an introduction to them, but, by giving complete references to the published literature, the authors have made the work useful to a reader who does not know all the aspects of the theory of automorphic forms
Note:
Description based on online resource; title from PDF title page (publisher's Web site, viewed May 30, 2016)
,
In English
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-0-691-08518-0
Language:
English
Subjects:
Mathematics
Keywords:
Automorphe Form
;
Spurformel
;
Gruppentheorie
;
Darstellungstheorie
;
Automorphe Form
;
Darstellungstheorie
;
Spurformel
;
Spur
;
Spur
DOI:
10.1515/9781400882403
URL:
Volltext
(URL des Erstveröffentlichers)
