Representations modulaires des groupes reductifs p-adiques. Representations cuspidales de GL(n): 137 (Progress in Mathematics, 137) - Hardcover

Vigneras, Marie-France

Hardcover

ISBN 10: 0817639292 ISBN 13: 9780817639297

Publisher: Birkhäuser, 1996

Synopsis

Taking up the works of Harish-Chandra, Langlands, Borel, Casselman, Bernstein and Zelevinsky, among others, on the complex representation theory of a p -adic reductive group G , the author explores the representations of G over an algebraic closure Fl of a finite field Fl with l1 p elements, which are called 'modular representations'. The main feature of the book is to develop the theory of types over Fl , and to use this theory to prove fundamental results in the theory of modular representations.

"The present book is of evident importance to everyone interested in the representation theory of p-adic groups....The monograph starts on an elementary level laying proper foundations for the things to come and then proceeds directly to results of recent research."

―Zentralblatt

About this title

Synopsis:

In French. Provides elementary facts of representations of a locally profinite group over a commutative ring; develops the algebraic theory of modular representations of a reductive p -adic group G ; and classifies the modular irreducible cuspidal and supercuspidal representations of GL(n, F) , which is the generalization of the work of Bushnell an

About this edition

• Publisher: Birkhäuser
• Publication date: 1996
• ISBN 10: 0817639292
• ISBN 13: 9780817639297
• Binding: Hardcover
• Number of pages: 256