Year: 1999
Type: article
Abstract: A dipolarization in a Lie algebra g is two polarizations g ± in g at a common linear form on g satisfying g=g + +g -.We study dipolarizations in semisimple Lie algebras, especially, the relation between dipolarizations and gradations.As an application, we give a relation between semisimple homogeneous parakähler manifolds and hyperbolic semisimple orbits.For g real semisimple, we determine the characteristic elements, from which dipolarizations can be constructed.
Source: Journal of Lie Theory
DOI: 10.5802/jolt.167
Authors: Z. Hou, S. Deng, S. Kaneyuki, K. Nishiyama
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7140387243