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Simple algebras, base change, and the advanced theory of the trace formula /
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 automorph...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
1989.
|
| Colección: | Annals of mathematics studies ;
no. 120. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
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| 001 | JSTOR_ocn946346627 | ||
| 003 | OCoLC | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Arthur, James, |d 1944- | |
| 245 | 1 | 0 | |a Simple algebras, base change, and the advanced theory of the trace formula / |c by James Arthur and Laurent Clozel. |
| 264 | 1 | |a Princeton, N.J. : |b Princeton University Press, |c 1989. | |
| 300 | |a 1 online resource (230 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 490 | 1 | |a Annals of mathematics studies ; |v number 120 | |
| 504 | |a Includes bibliographical references (pages 225-230). | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Introduction -- |t Chapter 1. Local Results -- |t Chapter 2. The Global Comparison -- |t Chapter 3. Base Change -- |t Bibliography. |
| 520 | |a 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. | ||
| 546 | |a In English. | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Representations of groups. | |
| 650 | 0 | |a Trace formulas. | |
| 650 | 0 | |a Automorphic forms. | |
| 650 | 6 | |a Représentations de groupes. | |
| 650 | 6 | |a Formules de trace. | |
| 650 | 6 | |a Formes automorphiques. | |
| 650 | 6 | |a Formes automorphes. | |
| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Automorphic forms |2 fast | |
| 650 | 7 | |a Representations of groups |2 fast | |
| 650 | 7 | |a Trace formulas |2 fast | |
| 650 | 7 | |a Automorphe Form |2 gnd | |
| 650 | 7 | |a Darstellungstheorie |2 gnd | |
| 650 | 7 | |a Gruppentheorie |2 gnd | |
| 650 | 7 | |a Spur |g Mathematik |2 gnd | |
| 650 | 7 | |a Spur |2 gnd | |
| 650 | 7 | |a Spurformel |2 gnd | |
| 650 | 7 | |a Darstellung |g Mathematik |2 gnd | |
| 650 | 7 | |a Gruppe |g Mathematik |2 gnd | |
| 650 | 7 | |a Représentations de groupes. |2 ram | |
| 650 | 7 | |a Formules de trace. |2 ram | |
| 650 | 7 | |a Formes automorphiques. |2 ram | |
| 655 | 4 | |a Darstellungstheorie (Mathematik) | |
| 700 | 1 | |a Clozel, Laurent, |d 1953- | |
| 776 | 0 | 8 | |i Print version: |a Arthur, James, 1944- |t Simple algebras, base change, and the advanced theory of the trace formula. |d Princeton, N.J. : Princeton University Press, 1989 |z 069108517X |w (DLC) 88022560 |w (OCoLC)18325674 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 120. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt1bd6kj6 |z Texto completo |
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