Almost unramified discrete spectrum for split groups over F q ( t )

Amritanshu Prasad
2002 Duke mathematical journal  
Let G be a split adjoint group defined over F q , let F = F q (t), and let A be the adèles of F. We describe the local constituents at two points of automorphic representations of G in the discrete part of L 2 (G(F)\G(A)) which have vectors invariant under Iwahori subgroups at these two points and are unramified at all other points.
doi:10.1215/s0012-7094-02-11322-2 fatcat:b2ea7bye7fgftc4fs2adlxexyy