English

Unitarizability in Corank Three for Classical p-adic Groups

Representation Theory 2020-06-24 v1

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.

Keywords

Cite

@article{arxiv.2006.12609,
  title  = {Unitarizability in Corank Three for Classical p-adic Groups},
  author = {Marko Tadic},
  journal= {arXiv preprint arXiv:2006.12609},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T16:32:14.395Z