Representations modulaires des groupes reductifs p-adiques. Representations cuspidales de GL(n) / Edition 1

by Marie-France Vigneras

Overview

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

Product Details

ISBN-13:	9780817639297
Publisher:	Birkhäuser Boston
Publication date:	07/30/1996
Series:	Progress in Mathematics , #137
Edition description:	1996
Pages:	238
Product dimensions:	0.00(w) x 0.00(h) x 0.36(d)
Language:	French

Editorial Reviews

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 and Kutzko for complex cuspidal representations. Intended as a text for a one-semester graduate course. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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