Non left-orderability of lattices in higher rank semi-simple Lie groups

From To appear in forthcoming issues by Bertrand Deroin, Sebastian Hurtado

Abstract

We prove that an irreducible lattice in a connected real semi-simple Lie group of real rank at least two and finite center is not left-orderable.

Keywords
, ,
Mathematical Subject Classification

Primary 2020: , , , , ,

Milestones
Received: 2020-11-24
Revised: 2026-06-24
Accepted: 2026-06-24

Authors

Bertrand Deroin

CNRS - AGM, CY Cergy Paris Université, France

Sebastian Hurtado

Department of Mathematics, Yale University, New Haven, CT 06511, USA