A non-homogeneous orbit of a diagonal subgroup

Details A non-homogeneous orbit of a diagonal subgroup A non-homogeneous orbit of a diagonal subgroup

2007-07-19

arxiv.org/abs/0707.2920v2

Mathematics

Dynamical Systems

Scientific paper

Let G=SL(n,R) with n>5. We construct examples of lattices Gamma of G,
subgroup A of the diagonal group and points x in G/Gamma such that the closure
of the orbit Ax is not homogeneous but does not factors through the action of a
one-parameter non-unipotent group. This contradicts a conjecture of Margulis.

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