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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C. Maquera, L. F. Martins (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this paper we describe the orbit structure of -actions of on the solid torus having and as the only compact orbits, and as singular set.
William A. Graham (1992)
Inventiones mathematicae
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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...
Charbonnel, Jean-Yves, Moreau, Anne (2010)
Documenta Mathematica
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Compositio Mathematica
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Annales de l'institut Fourier
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We consider groups of diffeomorphisms of the closed half-line which fix only the end point. When the group is a Lie group it is isomorphic to a subgroup of the affine group. On the other hand, when the group is isomorphic to a discrete subgroup of a solvable Lie group it is topologically equivalent to a subgroup of the affine group.