Abstract
We shall study the problems of global hypoellipticity and global solvability of operators defined on $G$-principle bundles $\Omega$, where $G$ is a compact Lie group that acts on a compact manifold $M$. We are particularly interested in cases where the $G$-principal bundle is the canonical product $\Omega = M\times \TT^m$ and where the operators are associated with differential complexes …