scholarly journals Linear flows on compact, semisimple Lie groups: stability and periodic orbits

2021 ◽  
pp. 1-12
Author(s):  
Simão Stelmastchuk
Keyword(s):  
Lie Groups ◽  
Periodic Orbits ◽  
Semisimple Lie Groups ◽  
Linear Flows ◽  
The Stability

Our first purpose is to study the stability of linear flows on real, connected, compact, semisimple Lie groups. Our second purpose is to study periodic orbits of linear and invariant flows. As an application, we present periodic orbits of linear or invariant flows on SO(3) and SU(2) and we study periodic orbits of linear or invariant flows on SO(4).

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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