Geodesic
Parametrization of coadjoint orbits of Rn times R
Journal of Lie theory, Tome 18 (2008) no. 1, pp. 45-66 Cet article a éte moissonné depuis la source Heldermann Verlag

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\def\sdir#1{\hbox{$\mathrel\times{\hskip -4.6pt {\vrule height 4.7 pt depth .5 pt}}\hskip 2pt_{#1}$}} We give an algorithm for an explicit construction of quantizable canonical coordinates on the coadjoint orbits across entire specific layers and an explicit description for the cross-section of the type I Lie group $\mathbb{R}^n\sdir{}\mathbb{R}$.
Classification : 22E25, 53D50
Mots-clés : Coadjoint orbits, parametrization 
@article{JLT_2008_18_1_JLT_2008_18_1_a3,
     author = {B. Dali },
     title = {Parametrization of coadjoint orbits of {R\protect\textsuperscript{n}} times {R}},
     journal = {Journal of Lie theory},
     pages = {45--66},
     year = {2008},
     volume = {18},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a3/}
}
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B. Dali . Parametrization of coadjoint orbits of Rn times R. Journal of Lie theory, Tome 18 (2008) no. 1, pp. 45-66. http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a3/