Character on a homogeneous space

In this paper, we look at the notion of cohomological triviality fibrations homogeneous spaces affine algebraic groups defined over \({\mathbb {C}}\) and use topological methods, primarily theory covering spaces. This is made possible because structure groups. Further, generalize our results for arbitrary connected their As an application give a result quasi- reductive (i.e., whose unipotent radical trivial), up to isogeny.