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

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

Report

"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

• Authors: Marie-France Vigneras
• Publisher: Springer, Basel
• Languages: French
• Product format: Hardback
• Released: 26.06.2009
• EAN: 9780817639297
• ISBN: 978-0-8176-3929-7
• No. of pages: 238
• Weight: 544 g
• Illustrations: XVIII, 238 p.
• Series: Progress in Mathematics; Progress in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra