Elliptic Coadjoint Orbits of Holomorphic Type
Copyright policy )Elliptic Coadjoint Orbits of Holomorphic Type
Summary: This article proves that any elliptic coadjoint orbit of a semisimple Lie group carries a holomorphic bundle structure over a flag variety if the polarization is given by a \(\theta\)-stable parabolic subalgebra of holomorphic type. An application to the Penrose transform is given.
- University of Tokyo Japan
coadjoint orbits, indefinite Kähler manifold, Borel embedding, Integral geometry, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), reductive Lie groups, Harish-Chandra decomposition, Differential geometry of symmetric spaces, Simple, semisimple, reductive (super)algebras
coadjoint orbits, indefinite Kähler manifold, Borel embedding, Integral geometry, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), reductive Lie groups, Harish-Chandra decomposition, Differential geometry of symmetric spaces, Simple, semisimple, reductive (super)algebras
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