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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 solved by means of the trace formula.
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Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula, James Arthur, Laurent Clozel
- Language
- Released
- 1989
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- (Paperback)
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- Title
- Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula
- Language
- English
- Authors
- James Arthur, Laurent Clozel
- Publisher
- Princeton University Press
- Released
- 1989
- Format
- Paperback
- ISBN10
- 0691085188
- ISBN13
- 9780691085180
- Series
- Description
- 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 solved by means of the trace formula.