Simple algebras, base change, and the advanced theory of the trace formula
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The work Simple algebras, base change, and the advanced theory of the trace formula represents a distinct intellectual or artistic creation found in University of San Diego Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Simple algebras, base change, and the advanced theory of the trace formula
Resource Information
The work Simple algebras, base change, and the advanced theory of the trace formula represents a distinct intellectual or artistic creation found in University of San Diego Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Simple algebras, base change, and the advanced theory of the trace formula
 Statement of responsibility
 by James Arthur and Laurent Clozel
 Subject

 Automorphic forms
 Automorphic forms
 Darstellung
 Darstellungstheorie
 Darstellungstheorie (Mathematik)
 Electronic books
 Formes automorphiques
 Formes automorphiques
 Formules de trace
 Formules de trace
 Gruppe
 Gruppentheorie
 MATHEMATICS  Group Theory
 Representations of groups
 Representations of groups
 Représentations de groupes
 Représentations de groupes
 Spur
 Spurformel
 Trace formulas
 Trace formulas
 Automorphe Form
 Language
 eng
 Summary
 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
 Cataloging source
 JSTOR
 Illustrations
 illustrations
 Index
 no index present
 Language note
 In English
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Annals of mathematics studies
 Series volume
 number 120
Context
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