Alg\`ebres de Lie quasi-r\'eductives
Michel Duflo, Mohamed Salah Khalgui, Pierre Torasso

TL;DR
This paper investigates a class of algebraic Lie algebras characterized by having a reductive generic stabilizer in the coadjoint action, contributing to the understanding of their structural properties.
Contribution
It introduces and analyzes quasi-reductive algebraic Lie algebras, expanding the classification and understanding of their coadjoint representations.
Findings
Identification of conditions for quasi-reductivity in algebraic Lie algebras
Characterization of the generic stabilizer in coadjoint actions
Insights into the structure of algebraic Lie algebras with reductive stabilizers
Abstract
We study the class of algebraic Lie algebras for which the generic stabilizer of the coadjoint action is reductive modulo the center.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
