Reversibility properties of semigroup actions on homogeneous spaces

dos Reis, Ronan A. [UNESP]; San Martin, Luiz A. B.

Reversibility properties of semigroup actions on homogeneous spaces

Data

2012-06-01

Autores

dos Reis, Ronan A.

San Martin, Luiz A. B.

Editor

Springer

Tipo

Artigo

Direito de acesso

Acesso restrito

Resumo

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.