Unitarizability in Corank Three for Classical p-adic Groups
arXiv:2006.12609
Abstract
Let G be the F-points of a classical group defined over a p-adic field F of characteristic 0. We classify the irreducible unitarizable representation of G that are subquotients of the parabolic induction of cuspidal representations of Levi subgroup of corank at most 3 in G.
This paper is based on our earlier manuscript Unitarizability in generalised rank three for classical p-adic groups (arXiv:1709.00630), which is now substantially revised (organisation of the paper and geometric exhaustion argument are only some of principal differences). It has iv+119 pages and 15 figures. To appear in the Memoirs of the AMS