Abstract
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.
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Communicated by Karlheinz Gröchenig.
B. Currey and B. Dali would thank the Université de Bourgogne for its hospitality and support during the progress of this work. B. Dali was partially supported by grant 01UR15-01 of the Unités de Recherche of Tunisia.
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Arnal, D., Currey, B. & Dali, B. Canonical coordinates for a class of solvable groups. Monatsh Math 166, 19–55 (2012). https://doi.org/10.1007/s00605-011-0314-4
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DOI: https://doi.org/10.1007/s00605-011-0314-4