dos Reis, Ronan A. [UNESP]San Martin, Luiz A. B.2014-05-202014-05-202012-06-01Semigroup Forum. New York: Springer, v. 84, n. 3, p. 472-486, 2012.0037-1912http://hdl.handle.net/11449/7107This paper studies reversibility of subsemigroups acting on homogeneous spaces. The reversor set of a subsemigroup is defined and it is related to the invariant control sets for semigroups acting on certain homogeneous spaces. Let G be a connected noncompact semi-simple Lie group with finite center. Let L be a subgroup of G. Assume that S is a subsemigroup of G with intS not equal empty set. The main result characterizes the reversibility of the S-action on G/L in terms of the actions of S and L on the flag manifolds of G.472-486engSemigroupsSemi-simple Lie groupsReversibilityFlag manifoldArtigo10.1007/s00233-012-9375-5WOS:000306590200004Acesso restrito