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math.GRAug 24, 2020
4
citations (OpenAlex)
authors
  • Bertrand Deroin
  • Sebastian Hurtado
institutions
  • Christ University
  • University of Chicago
arXiv abstractPDF
paper

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

arXiv:2008.10687

Abstract

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

arXiv comment67 pages

References in corpus (8)

  • Introduction to Arithmetic Groups
  • Groups acting on manifolds: around the Zimmer program
  • Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds
  • Measure theory through dynamical eyes
  • Superrigidity, Weyl groups, and actions on the Circle
  • A spectral gap property for subgroups of finite covolume in Lie groups
  • Congruence RFRS towers
  • Can lattices in SL(n,R) act on the circle?

Cited by in corpus (3)

  • A group with Property (T) acting on the circle
  • Finitely presented left orderable monsters
  • Locally moving groups and laminar actions on the line
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