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Zbl 0933.20034
Röhrle, Gerhard
On normal Abelian subgroups in parabolic groups.
(English)
[J] Ann. Inst. Fourier 48, No.5, 1455-1482 (1998). ISSN 0373-0956; ISSN 1777-5310/e

Let $G$ be a reductive algebraic group over an algebraically closed field, $P$ a parabolic subgroup of $G$, and $A$ a closed connected normal Abelian subgroup of $P$ in the unipotent radical of $P$. It is shown that $P$ has only finitely many orbits on $A$.
[Vladimir L.Popov (Moskva)]
MSC 2000:
*20G15 Linear algebraic groups over arbitrary fields
17B45 Lie algebras of linear algebraic groups

Keywords: reductive algebraic groups; parabolic subgroups; numbers of orbits

Cited in: Zbl 1067.17004 Zbl 0993.22016

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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