Local Transfer and Reducibility of Induced Representations of $p$-adic Groups of Classical Type

Abstract

We analyze reducibility points of representations of $p$-adic groups of classical type, induced from generic supercuspidal representations of maximal Levi subgroups, both on and off the unitary axis. We are able to give general, uniform results in terms of local functorial transfers of the generic representations of the groups we consider. The existence of the local transfers follows from global generic transfers that were established earlier.

20 pages. To appear in Contemporary Mathematics (AMS), volume in honor of Jim Cogdell's 60th birthday