Orateur
Nigel Higson
(Penn State University)
Description
The imaginary part of the infinitesimal character
Definition of the infinitesimal character. The infinitesimal character of a parabolically induced representation. Continuity of the infinitesimal character. The imaginary part of the infinitesimal character. A filtration of the reduced C-algebra of a real reductive group by ideals. Some low-real-rank examples. A theorem of Bruhat and Harish-Chandra about irreducible parabolic induction. Characterization of the fibers of the imaginary part of the infinitesimal character using tempiric representations. Discrete series representations versus tempiric representations. Characterization of the subquotients for the filtration of the reduced group C-algebra by ideals. The Mackey bijection.
