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On irreducible sl (2, R) - modules and sl 2-triples.

N. Dörr (1990)

Semigroup forum

On normal abelian subgroups in parabolic groups

Gerhard Röhrle (1998)

Annales de l'institut Fourier

Let $G$ be a reductive algebraic group, $P$ a parabolic subgroup of $G$ with unipotent radical $P_{u}$ , and $A$ a closed connected subgroup of $P_{u}$ which is normalized by $P$ . We show that $P$ acts on $A$ with finitely many orbits provided $A$ is abelian. This generalizes a well-known finiteness result, namely the case when $A$ is central in $P_{u}$ . We also obtain an analogous result for the adjoint action of $P$ on invariant linear subspaces of the Lie algebra of $P_{u}$ which are abelian Lie algebras. Finally, we discuss a connection...

On spherical nilpotent orbits and beyond

Dmitri I. Panyushev (1999)

Annales de l'institut Fourier

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 $θ$ -groups. This yields a description of spherical...

Displaying 1 – 7 of 7

On irreducible sl (2, R) - modules and sl 2-triples.

On normal abelian subgroups in parabolic groups

On spherical nilpotent orbits and beyond

On the Cartan subalgebras of Lie algebras over small fields.

On the complicatedness of the pair (g,K).

On the principal bundles over a flag manifold.

Orbites d'un groupe algébrique dans l'espace des idéaux rationnels d'une algèbre enveloppante

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