Titre: Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 (Annals of Mathematics Studies (120))
�diteur: Princeton University Press
Date de parution: 1989
Langue: anglais
ISBN � 10 chiffres: 069108517X
ISBN � 13 chiffres: 9780691085173
Reliure: Couverture rigide
�tat de l'article: New

A propos de ce titre

Synopsis

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.

Pr�sentation de l'�diteur

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.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

Description de la librairie

Labyrinth is an acclaimed independent bookstore serving the students and faculty of Princeton University as well as the town of Princeton and beyond. As the official bookstore for Princeton University, our independent store specializes in academic books for scholars, and we can always be relied upon to provide those books that form the backbone of current debates both inside and outside of the universities. We also carry books of broad and general interest: contemporary and classic literature, poetry, current events, history, philosophy, theology, cookbooks, comics, and books for children. We offer a large selection of constantly-changing inventory, daily sales and deep discounts on most books, used and antiquarian titles.

Visitez la page d�accueil du vendeur

Informations commerciales relatives au vendeur

Great Jones Books, Inc.
27 Route 31 South, Pennington, NJ, 08534, U.S.A.

Conditions de vente et de livraison

Conditions g�n�rales de vente

Purchase will be shipped upon receipt of payment including any additional shipping costs. NJ residents add appropriate sales tax. If you are dissatisfied (Incorrect Item/Not as Described/Damaged) or if the order has not arrived by the latest estimated delivery date, you maybe be eligible for a refund within 30 days of the estimated delivery date. Please contact us for any other return inquiries, and we will respond within 2 business days.

Conditions d'exp�dition

Orders usually ship within 2 business days. Shipping costs are based on books weighing 2.2 lbs or less, or 1 kg. Heavy or oversized books may require additional shipping charges.

Domestic shipping: Under 2.2 lbs
Media Mail $4.00 per book + $1.00 for each additional book
Priority Mail $7.00 per book + $3.00 for each additional book

Standard Shipping orders will be delivered via UPS Ground and USPS Media Mail, typically 2-5 business days for in-stock items. In-stock items will generally ship by the next business day.

Please note: While the overwhelming majority of packages shipped via USPS Media Mail arrive within the time specified above, in rare cases shipments can take up to 3 to 5 weeks to arrive. Media Mail shipments to Alaska, Hawaii, Guam, Puerto Rico and APO/FPO addresses can take up 3 to 8 weeks to arrive.