A ug 2 00 7 Semigroups over Local fields

  title={A ug 2 00 7 Semigroups over Local fields},
  author={Marcelo Firer and Daniel Miranda},
Let G be a 1-connected, almost-simple Lie group over a local field and S a subsemigroup of G with non-empty interior. The action of the regular hyperbolic elements in the interior of S on the flag manifold G/P and on the associated Euclidean building allows us to prove that the invariant control set exists and is unique. We also provide a characterization… CONTINUE READING