Projects per year
Abstract
Let F be a locally compact nonarchimedean local field. In this article, we extend to any inner form of GL_n over F, with n>0, the notion of endoclass introduced by Bushnell and Henniart for GL_n(F). We investigate the intertwining relations of simple characters of these groups, in particular their preservation properties under transfer. This allows us to associate to any discrete series representation of an inner form of GL_n(F) an endoclass over F. We conjecture that this endoclass is invariant under the local JacquetLanglands correspondence.
Original language  English 

Pages (fromto)  2377 
Number of pages  55 
Journal  Documenta Mathematica 
Volume  17 
Publication status  Published  2012 
Projects
 1 Finished

Representation of padic groups and arithmetic
Engineering and Physical Sciences Research Council
1/11/04 → 30/04/08
Project: Research