Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 60, No. 3, pp. 359-371 (2003)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home



On the Number of Control Sets on Compact Homogeneous Spaces

Carlos J. Braga Barros and Ronan A. Reis

Departamento de Matemática, Universidade Estadual de Maringá,
Cx. Postal 331, 87.020-900, Maringá-Pr -- BRASIL
Departamento de Matemática, Universidade Paulista Júlio de Mesquita Filho,
Cx. Postal 467, 19060-900 Presidente Prudente - SP -- BRASIL

Abstract: This paper gives conditions to determine the number of control sets on compact homogeneous spaces of a Lie group $G$. We use a Levi decomposition of $G$ to reduce the problem to homogeneous spaces of semi-simple Lie groups and, in particular, to generalized flag manifolds.

Keywords: semigroups; control sets; Lie groups; semi-simple Lie groups; flag manifolds; fiber bundles.

Classification (MSC2000): 22E15, 22E46, 93B05.

Full text of the article:

Electronic version published on: 9 Feb 2006. This page was last modified: 27 Nov 2007.

© 2003 Sociedade Portuguesa de Matemática
© 2003–2007 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition