Abstract
Let G be a simple and simply connected complex linear algebraic group. Fix a maximal compact subgroup \({K(G) \subset G}\), and let P be a parabolic subgroup of G. Let H be any connected reductive complex linear algebraic group. We classify the K(G)-equivariant holomorphic Hermitian principal H-bundles over G/P.
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Biswas, I., Gurjar, S. Equivariant holomorphic Hermitian principal bundles over a generalized flag manifold. Ann Glob Anal Geom 42, 91–107 (2012). https://doi.org/10.1007/s10455-011-9303-z
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DOI: https://doi.org/10.1007/s10455-011-9303-z