Sernigroup Actions on Adjoint Orbits

Autor(es)

do Rocio, Osvaldo G. ^[1] ; San Martin, Luiz A. B. ^[2] ; Verdi, Marcos A. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, PR - Brazil

^[2] Univ Estadual Campinas, UNICAMP, Dept Matemat, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF LIE THEORY; v. 22, n. 4, p. 931-948, 2012.
• Citações Web of Science: 3

Resumo

Let G be a connected semi-simple Lie group with finite center and S subset of G a subsemigroup with intS not equal empty set. In this article we study the control sets for the actions of S on the adjoint orbits Ad(G)H, where H is a regular element in the Lie algebra of G. We show here that these sets can be described as sets of fixed points for regular elements in the interior of S. Moreover, we shall describe the domains of attraction of this control sets and show that these sets are not comparable with respect to the natural order on control sets. (AU)

• Processo FAPESP: 07/06896-5 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
• Beneficiário: Luiz Antonio Barrera San Martin
• Modalidade de apoio: Auxílio à Pesquisa - Temático