On unitarizability in the case of classical p-adic groups

TL;DR

This paper explores the unitarizability problem for classical p-adic groups, proposing an approach and providing initial support for its potential effectiveness, with plans for further investigation in future work.

Contribution

It introduces a new approach to the unitarizability problem for classical p-adic groups and offers initial evidence supporting its viability.

Findings

Initial support for the proposed approach

Discussion of potential for further evidence in future work

Lays groundwork for more extensive analysis in subsequent studies

Abstract

In the introduction of this paper we discuss a possible approach to the unitarizability problem for classical p-adic groups. In this paper we give some very limited support that such approach is not without chance. In a forthcoming paper we shall give additional evidence in generalized cuspidal rank (up to) three.