On the unitarization of linear representations of primitive partially ordered sets

TL;DR

This paper characterizes all weights suitable for unitarizing linear representations of primitive partially ordered sets of finite type, providing a comprehensive classification.

Contribution

It offers a complete description of weights that enable unitarization, advancing understanding of representation theory for these posets.

Findings

All appropriate weights for unitarization are classified.

Provides explicit criteria for unitarization of representations.

Completes the classification for primitive finite-type posets.

Abstract

We describe all weights which are appropriated for the unitarization of linear representations of primitive partially ordered sets of finite type.