Abstract
Let $G$ be a linear connected complex reductive Lie group. The purpose of this paper is to construct a $G$-equivariant symplectomorphism in terms of local coordinates from a holomorphic twisted cotangent bundle of the generalized flag variety of $G$ onto the semisimple coadjoint orbit of $G$. As an application, one can obtain an explicit embedding of a noncompact real coadjoint orbit into the twisted cotangent bundle.
Citation
Takashi Hashimoto. "A twisted moment map and its equivariance." Tohoku Math. J. (2) 66 (4) 563 - 581, 2014. https://doi.org/10.2748/tmj/1491616814
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