Canonical coordinates for a class of solvable groups

DOI10.1007/s00605-011-0314-4zbMath1256.22002OpenAlexW2098560273MaRDI QIDQ2428593

Bradley N. Currey, Béchir Dali, Didier Arnal

Publication date: 26 April 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0314-4

zbMATH Keywords

coadjoint orbitscanonical coordinatesfiber bundlessolvable Lie groups

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Poisson manifolds; Poisson groupoids and algebroids (53D17) Nilpotent and solvable Lie groups (22E25) Fiber bundles in algebraic topology (55R10)

Related Items (5)

Characterization of regularity for a connected abelian action ⋮ Separation of coadjoint orbits of generalized diamond Lie groups ⋮ Linear dynamical systems of nilpotent Lie groups ⋮ Orthonormal bases in the orbit of square-integrable representations of nilpotent Lie groups ⋮ The Plancherel formula for an inhomogeneous vector group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Représentations \({}^*\) des groupes exponentiels. \((^*\)- representations of exponential groups)
• Explicit orbital parameters and the Plancherel measure for exponential Lie groups
• On the symplectic structure of coadjoint orbits of (solvable) Lie groups and applications. I
• Moyal product and representations of solvable Lie groups
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• Construction of canonical coordinates for exponential Lie groups
• Geometric Quantization and The Universal Enveloping Algebra of a Nilpotent Lie Group
• La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotente

This page was built for publication: Canonical coordinates for a class of solvable groups