Series of nilpotent orbits.
Landsberg, J.M., Manivel, Laurent, Westbury, Bruce W. (2004)
Experimental Mathematics
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Landsberg, J.M., Manivel, Laurent, Westbury, Bruce W. (2004)
Experimental Mathematics
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Andrzej Daszkiewicz, Witold Kraśkiewicz, Tomasz Przebinda (2005)
Open Mathematics
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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...
Dmitri I. Panyushev (1999)
Annales de l'institut Fourier
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We continue investigations that are concerned with the complexity of nilpotent orbits in semisimple Lie algebras. We give a characterization of the spherical nilpotent orbits in terms of minimal Levi subalgebras intersecting them. This provides a kind of canonical form for such orbits. A description minimal non-spherical orbits in all simple Lie algebras is obtained. The theory developed for the adjoint representation is then extended to Vinberg’s -groups. This yields a description...
Jackson, Steven Glenn, Noël, Alfred G. (2006)
Experimental Mathematics
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Luis A. Cordero, Marisa Fernández, Alfred Gray, Luis Ugarte (2001)
RACSAM
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Este artículo presenta un panorama de algunos resultados recientes sobre estructuras complejas nilpotentes J definidas sobre nilvariedades compactas. Tratamos el problema de clasificación de nilvariedades compactas que admiten una tal J, el estudio de un modelo minimal de Dolbeault y su formalidad, y la construcción de estructuras complejas nilpotentes para las cuales la sucesión espectral de Frölicher no colapsa en el segundo término.
Mihai Sabac (1996)
Collectanea Mathematica
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In what follows we shall describe, in terms of some commutation properties, a method which gives nilpotent elements. Using this method we shall describe the irreducibility for Lie algebras which have Levi-Malçev decomposition property.
Dan Barbasch, Allen Moy (1997)
Annales scientifiques de l'École Normale Supérieure
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Schneider, Csaba (2005)
Experimental Mathematics
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Đoković, Dragomir Ž. (2000)
Journal of Lie Theory
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William A. Graham (1992)
Inventiones mathematicae
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