Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120

Name: Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120
SKU: 2019346
Price: 246.00 NZD
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Paperback / softback

Series:

Annals of Mathematics Studies

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Description

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.

Release date NZ

June 21st, 1989

Author

Audiences

Professional & Vocational
Tertiary Education (US: College)

Pages

248

Series

Annals of Mathematics Studies

Dimensions

152x229x14

ISBN-13

9780691085180

Product ID

2019346

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