scholarly journals Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits

2018 ◽  
Vol 29 (3) ◽  
pp. 2823-2861 ◽  
Author(s):  
M. Măntoiu ◽  
M. Ruzhansky
2016 ◽  
Vol 284 (3-4) ◽  
pp. 1111-1136
Author(s):  
Ingrid Beltiţă ◽  
Jean Ludwig

2006 ◽  
Vol 84 (10) ◽  
pp. 891-904
Author(s):  
J R Schmidt

The Kahler geometry of minimal coadjoint orbits of classical Lie groups is exploited to construct Darboux coordinates, a symplectic two-form and a Lie–Poisson structure on the dual of the Lie algebra. Canonical transformations cast the generators of the dual into Dyson or Holstein–Primakoff representations.PACS Nos.: 02.20.Sv, 02.30.Ik, 02.40.Tt


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