Invariance entropy for semigroups actions in homogeneous spaces
On the unit group of Z-orders in finite dimensional algebras
| Full text | |
| Author(s): |
Rocio, Osvaldo G. do
;
San Martin, Luiz A. B.
[2]
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Semigroup Forum; v. 69, n. 1, p. 1-29, June 2004. |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics |
| Abstract | |
This paper studies connected components of open subsemigroups of non-compact semi-simple Lie groups by using control sets in the flag manifolds and their coverings. The concept of recurrent component is introduced and a method is given by which their number can be computed. It is shown that the union of all recurrent components is a semigroup. The idea of mid-reversibility comes up to show that an open semigroup has just one semigroup component if the identity belongs to its closure. A necessary and sufficient condition for mid-reversibility is proved showing that e.g. in a complex group any open semigroup is mid-reversible. (AU) | |
| FAPESP's process: | 02/10246-2 - Control systems, dynamical systems, stochastic dynamical systems, Lie theory and differential geometry |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |