The geometry of nilpotent coadjoint orbits of convex type in hermitian Lie algebras.

Hilgert, Joachim; Neeb, Karl-Hermann; Ørsted, Bent

Displaying similar documents to “The geometry of nilpotent coadjoint orbits of convex type in hermitian Lie algebras.”

Nilpotent Classes and Sheets of Lie Algebras in Bad Characteristic.

Nicolas Spaltenstein (1982)

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Abelian complex structures on 6-dimensional compact nilmanifolds

Luis A. Cordero, Marisa Fernández, Luis Ugarte (2002)

Commentationes Mathematicae Universitatis Carolinae

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We classify the $6$ -dimensional compact nilmanifolds that admit abelian complex structures, and for any such complex structure $J$ we describe the space of symplectic forms which are compatible with $J$ .

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Tsagas, Gr., Christophoridou, Ch., Synefaki, A. (1999)

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Dual pairs and Kostant-Sekiguchi correspondence. II. Classification of nilpotent elements

Andrzej Daszkiewicz, Witold Kraśkiewicz, Tomasz Przebinda (2005)

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We classify the homogeneous nilpotent orbits in certain Lie color algebras and specialize the results to the setting of a real reductive dual pair. For any member of a dual pair, we prove the bijectivity of the two Kostant-Sekiguchi maps by straightforward argument. For a dual pair we determine the correspondence of the real orbits, the correspondence of the complex orbits and explain how these two relations behave under the Kostant-Sekiguchi maps. In particular we prove that for a dual...