Journal of Lie Theory 24 (2014), No. 1, 179--197
Copyright Heldermann Verlag 2014
Lattices in S-adic Lie Groups
Yves Benoist
CNRS -- Université Paris-Sud, Orsay, France
benoist@math.u-psud.fr
Jean-François Quint
CNRS -- Université Bordeaux 1, Talence, France
jquint@math.u-bordeaux1.fr
We show that any finite volume quotient of an S-adic Lie group admits a fibration with compact fibers over some finite volume quotient of a product of algebraic semisimple p-adic Lie groups. We also prove a similar decomposition for lattices in a solvable locally compact group.
Keywords: Lattice, Lie group, local field.
MSC: 22E40
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