6 citations · 12 across the 5 of their papers we have counts for
5 papers
A note on the Jordan decomposition
Mauro Patrão, Laércio Santos, Lucas Seco
In this article we prove that the elliptic, hyperbolic and nilpotent (or unipotent) additive (or multiplicative) Jordan components of an endomorphism (or an isomorphism ) of…
A note on the Bruhat decomposition of semisimple Lie groups
Lucas Seco
Let a split element of a connected semisimple Lie group act on one of its flag manifolds. We prove that each connected set of fixed points of this action is itself a flag manifold.…
Jordan decomposition and dynamics on flag manifolds
Mauro Patrão, Lucas Seco, Thiago Ferraiol
Let $\g$ be a semisimple Lie algebra and $G = \Int(\g)$. In this article, we relate the Jordan decomposition of $X \in \g$ (or ) with the dynamics induced on generalized f…
Conley index and stable sets for flows on flag bundles
Mauro Patrão, Luiz San Martin, Lucas Seco
Consider a continuous flow of automorphisms of a G-principal bundle which is chain transitive on its compact Hausdorff base. Here G is a connected noncompact semi-simple Lie group…
Morse and Lyapunov Spectra and Dynamics on Flag Bundles
Luiz A. B. San Martin, Lucas Seco
This paper studies characteristic exponents of flows in relation with the dynamics of flows on flag bundles. The starting point is a flow on a principal bundle with semi-simple gro…