Let G be a connected reductive group over a finite field f of order q. When q <= 5, we make further assumptions on G. Then we determine precisely when G(f) admits irreducible, cuspidal representations that are self-dual, ...
For a connected reductive group G defined over a non-archimedean local field F, we consider the Bernstein blocks in the category of smooth representations of G(F). Bernstein blocks whose cuspidal support involves a regular ...