Geometric dimension of lattices in classical simple Lie groups

2015/04/10 by Javier Aramayona, Aramayona, Javier, Dieter Degrijse +6
Mathematics · #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.AT #math.GR #math.GT

paper · pdf · doi:10.48550/arxiv.1504.02607

43 pages

arxiv created 2015/04/10 · openalex publication_date 2015/04/10 · arxiv updated 2015/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that if Γ is a lattice in a classical simple Lie group G, then the symmetric space of G is Γ-equivariantly homotopy equivalent to a proper cocompact Γ-CW complex of dimension the virtual cohomological dimension of Γ.

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