Year: 2006
Type: article
Abstract: We study reducibility of representations parabolically induced from discrete series representations of SUn(F) for F a p-adic field of characteristic zero. We use the approach of studying the relation between R-groups when a reductive subgroup of a quasi-split group and the full group have the same derived group. We use restriction to show the quotient of R-groups is in natural bijection with a group of characters. Applying this to SUn(F) ⊂ Un(F) we show the R group for SUn is the semidirect product of an R-group for Un(F) and this group of characters. We derive results on nonabelian R-groups and generic elliptic representations as well.
Source: Canadian Journal of Mathematics
Author: David Goldberg
Institution: Purdue University West Lafayette
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2056380406