A TWISTED MOMENT MAP AND ITS EQUIVARIANCE

摘要

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.