Geometric quantization and Zuckerman models of semisimple Lie groups

2007 ◽  
Vol 19 (5) ◽  
Author(s):  
Meng-Kiat Chuah
Keyword(s):  
Lie Groups ◽  
Geometric Quantization ◽  
Semisimple Lie Groups

scholarly journals DEFORMATION QUANTIZATION OF COADJOINT ORBITS

2000 ◽  
Vol 14 (22n23) ◽  
pp. 2397-2400 ◽  
Author(s):  
M. A. LIEDÓ
Keyword(s):  
Lie Groups ◽  
Algebraic Structure ◽  
Deformation Quantization ◽  
Geometric Quantization ◽  
Coadjoint Orbits ◽  
Semisimple Lie Groups

A method for the deformation quantization of coadjoint orbits of semisimple Lie groups is proposed. It is based on the algebraic structure of the orbit. Its relation to geometric quantization and differentiable deformations is explored.

scholarly journals Harmonic morphisms from the classical compact semisimple Lie groups

2007 ◽  
Vol 33 (4) ◽  
pp. 343-356 ◽  
Author(s):  
Sigmundur Gudmundsson ◽  
Anna Sakovich
Keyword(s):  
Lie Groups ◽  
Harmonic Morphisms ◽  
Semisimple Lie Groups

scholarly journals Representations of complex semisimple Lie groups and Lie algebras

1966 ◽  
Vol 72 (3) ◽  
pp. 522-526 ◽  
Author(s):  
K. R. Parthasarathy ◽  
R. Ranga Rao ◽  
V. S. Varadarajan
Keyword(s):  
Lie Groups ◽  
Lie Algebras ◽  
Semisimple Lie Groups ◽  
Complex Semisimple

scholarly journals A geometric construction of the discrete series for semisimple Lie groups

1979 ◽  
Vol 54 (2) ◽  
pp. 189-192 ◽  
Author(s):  
Michael Atiyah ◽  
Wilfried Schmid
Keyword(s):  
Lie Groups ◽  
Discrete Series ◽  
Geometric Construction ◽  
Semisimple Lie Groups
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