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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King, Donald R. (2004)
Journal of Lie Theory
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Dragomir Đoković (2003)
Open Mathematics
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Let and be adjoint nilpotent orbits in a real semisimple Lie algebra. Write ≥ if is contained in the closure of . This defines a partial order on the set of such orbits, known as the closure ordering. We determine this order for the split real form of the simple complex Lie algebra, E 8. The proof is based on the fact that the Kostant-Sekiguchi correspondence preserves the closure ordering. We also present a comprehensive list of simple representatives of these orbits, and...
Charbonnel, Jean-Yves, Moreau, Anne (2010)
Documenta Mathematica
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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...
Jackson, Steven Glenn, Noël, Alfred G. (2006)
Experimental Mathematics
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Dragomir Đoković (2005)
Open Mathematics
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Đoković, Dragomir Ž. (2000)
Journal of Lie Theory
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Sabourin, Hervé (2000)
Journal of Lie Theory
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Hisayosi Matumoto (1992)
Compositio Mathematica
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Hartmut Bürgstein, Wim H. Hesselink (1987)
Compositio Mathematica
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