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期刊论文
Dipolarizations in semisimple Lie algebras and homogeneous parakaihler manifolds
Journal of Lie Theory Volume 9(1999)215-232，-0001，（）：
A dipolarization in a Lie algebra θ is two polarizations θ±in at a common linear form on θ satisfying θ=θ±+9-. We study dipolarizations in semisimple Lie algebras, especially, the relation between dipolarizations and gradations. As an application, we give a relation between semisimple homogeneous parakahler manifolds and hyperbolic sernisimple orbits. For real semisimple, we determine the characteristic elements, from which dipolarizations can be constructed.
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