**Journal of Lie Theory
**

Vol. 8, No. 2, pp. 393-397 (1998)

#
On the number of control sets on flag manifolds of real simple Lie groups

##
C. Barros

Departamento de Matematica

Universidade Estadual de Maringa

Cx.Postal 331

87.020-900 Maringa-Pr

Brasil

**Abstract:** In this paper we determine upper bounds for the number of control sets on flag manifolds of a real non-compact simple Lie group whose Lie algebra is a real form of a complex simple Lie algebra. The estimates for the number of control sets are based on the results of San Martin and Tonelli \cite{smt}. They are determined by computing the orbits of a subgroup of the Weyl Group.

**Full text of the article:**

[Previous Article] [Next Article] [Contents of this Number]