Abstract
In this paper, we look at the notion of cohomological triviality of fibrations of homogeneous spaces of affine algebraic groups defined over \({\mathbb {C}}\) and use topological methods, primarily the theory of covering spaces. This is made possible because of the structure theory of affine algebraic groups. Further, we generalize our results for arbitrary connected algebraic groups and their homogeneous spaces. As an application of our methods, we give a structure result for quasi- reductive algebraic groups (i.e., algebraic groups whose unipotent radical is trivial), up to isogeny.
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Communicating Editor: Parameswaran Sankaran
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Parameswaran, A.J., Shastri, K.A. Character on a homogeneous space. Proc Math Sci 131, 12 (2021). https://doi.org/10.1007/s12044-021-00608-9
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DOI: https://doi.org/10.1007/s12044-021-00608-9