Journal of Lie Theory

no. 1
Parametrization of coadjoint orbits of Rn times R
Journal of Lie Theory, Volume 18 (2008) no. 1, pp. 45-66
\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 $\mathbb{R}^n\sdir{}\mathbb{R}$.
DOI: 10.5802/jolt.481
Classification: 22E25, 53D50
Keywords: Coadjoint orbits, parametrization 
@article{JOLT_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},
     doi = {10.5802/jolt.481},
     zbl = {1145.22003},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.481/}
}
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%J Journal of Lie Theory
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%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.481/
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B. Dali. Parametrization of coadjoint orbits of Rn times R. Journal of Lie Theory, Volume 18 (2008) no. 1, pp. 45-66. doi: 10.5802/jolt.481

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