Réductibilité presque partout des flots fibrés quasi-périodiques à valeurs dans des groupes compacts

Let us be given a compact "semi-simple" Lie group G with Lie algebra g, a regular element A ∈ g, a bounded interval A ⊂ R and a diophantine vector ω ∈ Rd; then if F ∈ Cω (Rd/Zd. g) is small enough, ω meaning here "real analytic", for Lebesgue-a.e. λ ∈ Λ, the quasi-periodic system (formula presented), with frequency vector ω, is Floquet-reducible modulo some finite covering depending only on the group G. This theorem is a generalization of the one proved in [5].