Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients
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Publication:4381901
DOI10.24033/bsmf.2313zbMath0892.22009OpenAlexW2341862124MaRDI QIDQ4381901
Publication date: 2 June 1998
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=BSMF_1997__125_3_447_0
Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30)
Related Items (11)
A cohomological obstruction to the existence of compact Clifford-Klein forms ⋮ Best possible rates of distribution of dense lattice orbits in homogeneous spaces ⋮ Semisimple symmetric spaces that do not model any compact manifold ⋮ Proper actions of \(\mathrm{SL}(2,\mathbb C)\) on irreducible complex symmetric spaces ⋮ Proper actions of \(\mathrm{SL}(2,\mathbb R)\) on semisimple symmetric spaces ⋮ Nonexistence of standard compact Clifford–Klein forms of homogeneous spaces of exceptional Lie groups ⋮ Proof of Kobayashi's rank conjecture on Clifford-Klein forms ⋮ Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants ⋮ Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford–Klein forms problem ⋮ Semisimple symmetric spaces without compact manifolds locally modelled thereon ⋮ Tempered subgroups and representations with minimal decay of matrix coefficients
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