Classification of admissible nilpotent orbits in simple exceptional real Lie algebras of inner type

DOI10.1090/S1088-4165-01-00141-8zbMath1005.17006MaRDI QIDQ2761188

Alfred G. Noël

Publication date: 17 December 2001

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nilpotent orbitsreductive Lie algebrasadmissible

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25)

Related Items (max. 100)

Admissible nilpotent orbits of real and 𝑝-adic split exceptional groups ⋮ Classification of admissible nilpotent orbits in simple real Lie algebras 𝐸₆₍₆₎ and 𝐸₆₍₋₂₆₎ ⋮ Whittaker supports for representations of reductive groups ⋮ Equivariant deformation quantization and coadjoint orbit method

Cites Work

• Remarks on real nilpotent orbits of a symmetric pair
• Classification of admissible nilpotent orbits in the classical real Lie algebras
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• Classification of admissible nilpotent orbits in simple real Lie algebras 𝐸₆₍₆₎ and 𝐸₆₍₋₂₆₎
• Unitary Representations of Reductive Lie Groups. (AM-118)
• Semisimple subalgebras of semisimple Lie algebras
• Proof of a Conjecture of Kostant
• Admissible nilpotent coadjoint orbits of p-adic reductive Lie groups
• Orbits and Representations Associated with Symmetric Spaces
• On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups
• Lie groups beyond an introduction
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