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

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arxiv 2008.10687 v1 pith:FD6EP5SN submitted 2020-08-24 math.GR math.DS

Bertrand Deroin , Sebastian Hurtado This is my paper · ORCID
classification math.GRmath.DS
keywords rankrealsemi-simplecenterfinitegroupgroupshigher
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stability for boundary actions of cocompact lattices in Euclidean buildings

    math.DS 2026-07 accept novelty 7.0 of 10

    Cocompact lattice actions on flag boundaries of Euclidean buildings are topologically stable: every sufficiently small perturbation is semi-conjugate to the original action.

  2. Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices

    math.GR 2025-06 conditional novelty 7.0 of 10

    For higher-rank lattices, Hilbert-Schmidt stability implies non-hyperlinearity of certain central extensions, and character rigidity is equivalent to hyperfinite Hilbert-Schmidt stability.

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