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Geometric dimension of lattices in classical simple Lie groups
Author(s) -
Aramayona Javier,
Degrijse Dieter,
MartínezPérez Conchita,
Souto Juan
Publication year - 2017
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/topo.12016
Subject(s) - mathematics , lie group , dimension (graph theory) , pure mathematics , simple (philosophy) , homotopy , lattice (music) , classifying space , simple lie group , space (punctuation) , lie algebra , computer science , physics , philosophy , epistemology , acoustics , operating system
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 .