Unitarizable minimal principal series of reductive groups

TL;DR

This paper reviews recent advances in identifying which minimal principal series representations of reductive groups over real or p-adic fields are unitarizable, enhancing understanding of their structure and classification.

Contribution

It provides an exposition of recent progress on classifying unitarizable Langlands quotients of minimal principal series for reductive groups over local fields.

Findings

Characterization of unitarizable Langlands quotients

Progress in classification over real and p-adic fields

Clarification of criteria for unitarizability

Abstract

The aim of this paper is to give an exposition of recent progress on the determination of the unitarizable Langlands quotients of minimal principal series for reductive groups over the real or p-adic fields in characteristic 0.