5 papers
Order of dynamical and control systems on maximal compact subgroups
Mauro Patrão, Laércio dos Santos
In this paper, we characterize the dynamical orders of minimal Morse components and, partially, of control sets on maximal compact subgroups of a semisimple Lie group as an algebra…
The shortest way to the geodesics of spheres
Mauro Patrão
In this paper, we prove, using only elementary geometric arguments and only assuming that the curves are continuous, that the geodesics on a sphere are the minor arcs of the great…
Cellular homology of compact groups: Split real forms
Mauro Patrão, Ricardo Sandoval
In this article, we use the Bruhat and Schubert cells to calculate the cellular homology of the maximal compact subgroup of a connected semisimple Lie group whose Lie algeb…
Dynamics of translations on maximal compact subgroups
Mauro Patrão, Ricardo Sandoval
In this article, we study the dynamics of translations of an element of a semisimple Lie group acting on its maximal compact subgroup . First, we extend to our context some…
Control sets on maximal compact subgroups
Mauro Patrão, Laércio dos Santos
In this paper we study the action of semigroups with nonempty interior of noncompact connected semisimple Lie groups, with finite center, on their maximal compact connected subgrou…