The Structure of the Space of Coadjoint Orbits of an Exponential Solvable Lie Group

DOI10.2307/2154031zbMath0763.22008OpenAlexW3021431074MaRDI QIDQ4018435

Bradley N. Currey

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2154031

zbMATH Keywords

coadjoint orbitslayeralgebraic setsexponential solvable Lie groupZariski open sets

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (8)

Infinitely small orbits in two-step nilpotent Lie algebras ⋮ Analysis of some monomial representations of exponential solvable Lie groups ⋮ The multiplicity function of mixed representations on completely solvable Lie groups ⋮ Separation of coadjoint orbits of an exponential group by their convex envelops ⋮ \(C^\ast\)-dynamical systems of solvable Lie groups ⋮ A Continuous Trace Composition Sequence forC*(G) whereG is an Exponential Solvable Lie Group ⋮ Construction of canonical coordinates for exponential Lie groups ⋮ Global and concrete quantizations on general type I groups

Cites Work

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• On the Dual of an Exponential Solvable Lie Group
• Sur l'analyse harmonique sur les groupes de Lie résolubles
• Orbital Parameters for Induced and Restricted Representations
• Geometric Quantization and The Universal Enveloping Algebra of a Nilpotent Lie Group
• Dual topology of a nilpotent Lie group
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• Restricting Representations of Completely Solvable Lie Groups

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