Admissible nilpotent orbits of real and 𝑝-adic split exceptional groups

DOI10.1090/S1088-4165-02-00134-6zbMath1042.20039MaRDI QIDQ4547426

Monica Nevins

Publication date: 21 August 2002

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

zbMATH Keywords

coadjoint orbitsadmissible orbits

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Lie algebras of linear algebraic groups (17B45) Linear algebraic groups over local fields and their integers (20G25)

Related Items

Nilpotent orbits of orthogonal groups over \(p\)-adic fields, and the DeBacker parametrization ⋮ On nilpotent orbits of \(\mathrm{SL}_{n}\) and \(\mathrm{Sp}_{2n}\) over a local non-Archimedean field ⋮ Whittaker supports for representations of reductive groups ⋮ Equivariant deformation quantization and coadjoint orbit method ⋮ Raising nilpotent orbits in wave-front sets

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of admissible nilpotent orbits in the classical real Lie algebras
• Classification of filiform Lie algebras in dimension 8
• Howe correspondences on a \(p\)-adic field
• Some representations of exceptional Lie algebras
• The Weil representation, Maslov index and theta series
• Notes on unipotent classes
• On some explicit formulas in the theory of Weil representation
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Galois-Kohomologie halb einfacher algebraischer Gruppen über \(p\)-adischen Körpern. I, II
• Théoremes de finitude en cohomologie galoisienne
• Sur certains groupes d'opérateurs unitaires
• Lectures on Galois cohomology of classical groups. With an appendix by T. Springer
• Centralizers of unipotent elements in semisimple algebraic groups
• Classification of admissible nilpotent orbits in simple exceptional real Lie algebras of inner type
• Classification of admissible nilpotent orbits in simple real Lie algebras 𝐸₆₍₆₎ and 𝐸₆₍₋₂₆₎
• Unitary Representations of Reductive Lie Groups. (AM-118)
• Admissible nilpotent coadjoint orbits of p-adic reductive Lie groups
• Reductive subgroups of exceptional algebraic groups
• Quantization and representations of solvable Lie groups
• Représentations linéaires irréductibles d'un groupe réductif sur un corps quelconque.