Canonical coordinates for a class of solvable groups

For class R, type I solvable groups of the form NH , N nilpotent, H abelian, we construct an explicit layering with cross-sections for coadjoint orbits. We show that any ultrafine layer Ω has a natural structure of fiber bundle. The description of this structure allows us to build explicit local can...

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Bibliographic Details
Published in:Monatshefte für Mathematik 2012-04, Vol.166 (1), p.19-55
Main Authors: Arnal, Didier, Currey, Bradley, Dali, Bechir
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:For class R, type I solvable groups of the form NH , N nilpotent, H abelian, we construct an explicit layering with cross-sections for coadjoint orbits. We show that any ultrafine layer Ω has a natural structure of fiber bundle. The description of this structure allows us to build explicit local canonical coordinates on Ω.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-011-0314-4