Artículos de revistas
Reversibility properties of semigroup actions on homogeneous spaces
Fecha
2012-06-01Registro en:
Semigroup Forum. New York: Springer, v. 84, n. 3, p. 472-486, 2012.
0037-1912
10.1007/s00233-012-9375-5
WOS:000306590200004
Autor
Universidade Estadual Paulista (Unesp)
Universidade Estadual de Campinas (UNICAMP)
Institución
Resumen
This 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.