On normal Abelian subgroups in parabolic groups

DOI10.5802/aif.1662zbMath0933.20034OpenAlexW2035999102MaRDI QIDQ1272263

Gerhard Röhrle

Publication date: 29 November 1998

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_5_1455_0

zbMATH Keywords

parabolic subgroupsnumbers of orbitsreductive algebraic groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Lie algebras of linear algebraic groups (17B45)

Related Items (10)

Abelian ideals of Borel subalgebras and affine Weyl groups ⋮ Finite orbit modules for parabolic subgroups of exceptional groups. ⋮ ABELIAN IDEALS IN A COMPLEX SIMPLE LIE ALGEBRA ⋮ The Bruhat order on abelian ideals of Borel subalgebras ⋮ Spherical orbits and Abelian ideals ⋮ Superstable subgroups of \(\text{SL}_2(K)\) and \(\text{PSL}_2(K)\). (Sous-groupes superstables de \(\text{SL}_2(K)\) et de \(\text{PSL}_2(K)\)) ⋮ Weakly closed unipotent subgroups in Chevalley groups. ⋮ Orbits of parabolic subgroups on metabelian ideals. ⋮ Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings ⋮ Abelian Ideals with Given Dimension in Borel Subalgebras

Cites Work

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• Structure of prehomogeneous spaces associated with certain graded Lie algebras
• Rational representations of algebraic groups: Tensor products and filtrations
• Complexity of action of reductive groups
• Quelques propriétés des espaces homogènes sphériques. (Some properties of spherical homogeneous spaces)
• Some remarks on nilpotent orbits
• Linear Lie groups acting with finitely many orbits
• On the modality of parabolic subgroups of linear algebraic groups
• Algorithmic modality analysis for parabolic groups
• A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical
• A finiteness theorem for parabolic subgroups of fixed modality
• A note on the modality of parabolic subgroups
• Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
• On the set of orbits for a Borel subgroup
• Parabolic subgroups of positive modality
• Parabolic subgroups with Abelian unipotent radical
• Eigenvalues of a Laplacian and commutative Lie subalgebras
• Semisimple subalgebras of semisimple Lie algebras
• ON THE INTEGRABILITY OF INVARIANT HAMILTONIAN SYSTEMS WITH HOMOGENEOUS CONFIGURATION SPACES
• On Quotient Varieties and the Affine Embedding of Certain Homogeneous Spaces
• Filtrations of $G$-modules
• THE WEYL GROUP OF A GRADED LIE ALGEBRA
• On parabolic subgroups of classical groups with a finite number of orbits on the unipotent radial
• On the structure of parabolic subgroups

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