Geodesic
Positive polarizations and Abelian ideals in Lie algebras
Sbornik. Mathematics, Tome 40 (1981) no. 2, pp. 227-240

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In this paper a theorem on the relative distribution of an Abelian ideal and a positive polarization in a Lie algebra (of general type) is proved. It permits one to extend signficantly the domain of application of a theorem on holomorphically induced representations of Lie groups with an Abelian normal subgroup and a criterion for nontriviality of the representation space given by a polarization, both results obtained earlier by the author. Bibliography: 4 titles. 
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     author = {A. A. Zaitsev},
     title = {Positive polarizations and {Abelian} ideals in {Lie} algebras},
     journal = {Sbornik. Mathematics},
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     number = {2},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1981_40_2_a7/}
}
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A. A. Zaitsev. Positive polarizations and Abelian ideals in Lie algebras. Sbornik. Mathematics, Tome 40 (1981) no. 2, pp. 227-240. http://geodesic.mathdoc.fr/item/SM_1981_40_2_a7/