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Abstract: We prove that any coadjoint orbit with real eigenvalues of a complexsemisimple Lie group, equipped with the real part of the canonical holomorphicsymplectic form, is symplectomorphic to the cotangent bundle of a partialflag manifold. Moreover, we generalize this result to hyperbolic orbits in areal semisimple Lie algebra.



Author: Hassan Azad, Erik van den Ban, Indranil Biswas

Source: https://arxiv.org/







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