Total positivity in symmetric spaces

TL;DR

This paper extends the concept of total positivity, originally developed for reductive groups, to the setting of symmetric spaces, broadening the scope of total positivity theory.

Contribution

It introduces a new framework for total positivity in symmetric spaces, expanding the mathematical understanding beyond reductive groups.

Findings

Established total positivity criteria for symmetric spaces

Connected total positivity with geometric structures in symmetric spaces

Provided foundational results for future research in the area

Abstract

The theory of total positivity for reductive groups is here extended to the case of symmetric spaces.