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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Reversibility properties of semigroup actions on homogeneous spaces

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Author(s):
dos Reis, Ronan A. [1] ; San Martin, Luiz A. B. [2]
Total Authors: 2
Affiliation:
[1] UNESP, Dept Matemat Estat & Comp, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP - Brazil
[2] Univ Estadual Campinas, Math Inst, Dept Math, Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Semigroup Forum; v. 84, n. 3, p. 472-486, JUN 2012.
Web of Science Citations: 0
Abstract

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. (AU)

FAPESP's process: 07/06896-5 - Geometry of control, dynamical and stochastic systems
Grantee:Luiz Antonio Barrera San Martin
Support Opportunities: Research Projects - Thematic Grants