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
Keyword(s):  
Lie Groups ◽  
Coadjoint Orbits ◽  
Nilpotent Lie Groups ◽  
Lie Groups And Algebras

scholarly journals Spectral synthesis for coadjoint orbits of nilpotent Lie groups

2016 ◽  
Vol 284 (3-4) ◽  
pp. 1111-1136
Author(s):  
Ingrid Beltiţă ◽  
Jean Ludwig
Keyword(s):  
Lie Groups ◽  
Spectral Synthesis ◽  
Coadjoint Orbits ◽  
Nilpotent Lie Groups

The Darboux coordinate system and Holstein–Primakoff representations on Kähler manifolds

2006 ◽  
Vol 84 (10) ◽  
pp. 891-904
Author(s):  
J R Schmidt
Keyword(s):  
Coordinate System ◽  
Lie Groups ◽  
Lie Algebra ◽  
Poisson Structure ◽  
Kähler Manifolds ◽  
Coadjoint Orbits ◽  
Kahler Manifolds ◽  
Canonical Transformations ◽  
Kahler Geometry

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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