The closure diagrams for nilpotent orbits of real forms of .
Đoković, Dragomir Ž. (2001)
Journal of Lie Theory
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Đoković, Dragomir Ž. (2001)
Journal of Lie Theory
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Jackson, Steven Glenn, Noël, Alfred G. (2006)
Experimental Mathematics
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Lewis, Robert H., Moore, Guy D. (1997)
Experimental Mathematics
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Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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C. Watkiss (1976)
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J. Janas (1982)
Colloquium Mathematicae
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S. Ilić (1986)
Matematički Vesnik
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Ernest Płonka (1974)
Colloquium Mathematicae
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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...
Vikas Bist (1991)
Publicacions Matemàtiques
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Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic zero.
Landsberg, J.M., Manivel, Laurent, Westbury, Bruce W. (2004)
Experimental Mathematics
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Irene Llerena (1984/85)
Mathematische Zeitschrift
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Israel N. Herstein (1986)
Revista Matemática Iberoamericana
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A well-known theorem due to Kolchin states that a semi-group G of unipotent matrices over a field F can be brought to a triangular form over the field F [4, Theorem H]. Recall that a matrix A is called unipotent if its only eigenvalue is 1, or, equivalently, if the matrix I - A is nilpotent. Many years ago I noticed that this result of Kolchin is an immediate consequence of a too-little known result due to Wedderburn [6]. This result of Wedderburn asserts that if B is a finite...