Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 18 (2008), No. 1, 045--066Copyright Heldermann Verlag 2008 Parametrization of coadjoint orbits of Rn times R Béchir Dali Dept. of Mathematics, Faculty of Sciences, 7021 Zarzouna - Bizerte, Tunisia bechir.dali@yahoo.fr [Abstract-pdf] \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 $\mathbb{R}^n\sdir{}\mathbb{R}$. Keywords: Coadjoint orbits, parametrization. MSC: 22E25, 53D50 [ Fulltext-pdf  (248  KB)] for subscribers only.