Quasi-reductive Lie algebras

DOI10.1007/s00031-012-9179-4zbMath1307.17012arXiv1106.1730OpenAlexW2049585509WikidataQ115389486 ScholiaQ115389486MaRDI QIDQ692784

Mohamed Salah Khalgui, Michel Duflo, Pierre Torasso

Publication date: 6 December 2012

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1730

zbMATH Keywords

representation theorygeneric stabilizerquasi-reductive Lie algebrasalgebraic Lie algebrascoadjoint orbits of reductive typequasi-reductive parabolic subalgebras of simple Lie algebra

Mathematics Subject Classification ID

Lie algebras of linear algebraic groups (17B45) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (5)

On seaweed subalgebras and meander graphs in type D ⋮ Unnamed Item ⋮ Stability of parabolic subalgebras of exceptional simple Lie algebras ⋮ Canonical reductive subgroups of real biparabolic groups ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasi-reductive (bi)parabolic subalgebras in reductive Lie algebras
• Classification of connected unimodular Lie groups with discrete series
• The Plancherel formula for complex algebraic unimodular groups
• Arithmetic subgroups of algebraic groups
• Théorie de Mackey pour les groupes de Lie algébriques
• Frobenius Lie algebras
• Classification of unimodular algebraic groups with square integrable representations
• A preparation theorem for the prime spectrum of a semisimple Lie algebra
• The Poisson- Plancherel formula for a real semialgebraic group. I: Fourier transform of orbital integrals
• On commutative polarizations.
• Index of parabolic and seaweed subalgebras of \(\mathfrak{sn}_n\)
• Index and stable linear forms in Lie algebras.
• On the index of certain Lie algebras.
• An extension of Raïs' theorem and seaweed subalgebras of simple Lie algebras.
• Symplectic or contact structures on Lie groups
• The Plancherel formula for real almost algebraic Lie groups
• The Brauer-Manin Obstruction and III[2]
• Coadjoint Orbits of Reductive Type of Parabolic and Seaweed Lie Subalgebras
• Characteristically nilpotent Lie algebras and symplectic structures
• On frobenius lie algebras
• Sur la représentation coadjointe des algèbres de Lie résolubles.
• Algebraic groups with square-integrable representations
• Representations of restricted Lie algebras and families of associative ℒ-algebras
• Generic representations of parabolic subgroups. Case I - SO(2n,C)
• Generic representations of parabolic subgroups. CaseII-so(2n+l,c)
• The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group

This page was built for publication: Quasi-reductive Lie algebras