Semigroups and Controllability of Invariant Control Systems on $\mathrm{Sl}\left(n,\mathbb{H}\right)$

Bruno A. Rodrigues, Luiz A. B. San Martin, Alexandre J. Santana

Let $\mathrm{Sl}\left(n,\mathbb{H}\right)$ be the Lie group of $n\times n$ quaternionic matrices $g$ with $\left|\det g\right|=1$. We prove that a subsemigroup $S \subse…