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math.DS2009
Lattices with and lattices without spectral gap
Bachir Bekka, Alexander Lubotzky
The following two results are shown. 1) Let be the -rational points of a simple algebraic group over a local field and let be a lattice in Then the regular repr…
math.GR2009★ 9 cited
A spectral gap property for subgroups of finite covolume in Lie groups
Bachir Bekka, Yves Cornulier
Let G be a real Lie group and H a lattice or, more generally, a closed subgroup of finite covolume in G. We show that the unitary representation lambda_{G/H} of G on L^2(G/H) has a…