Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula (Paperback)

Idioma: inglés

Editorial: Princeton University Press, New Jersey, 1989

0691085188 / 9780691085180

Serie: Libro 104 de 202 - Annals of Mathematics Studies

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Paperback. 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. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

N° de ref. del artículo 9780691085180

Título
Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula (Paperback)
Autor
James Arthur
Editorial
Princeton University Press, New Jersey
Año de publicación
1989
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
0691085188
ISBN 13
9780691085180
Serie
Libro 104 de 202: Annals of Mathematics Studies

CitiRetail

Stevenage, Reino Unido

Vendedor de 5 estrellas

Vendedor de IberLibro desde 29 de junio de 2022

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Primer artículoEUR 43,88EUR 43,88
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