scholarly journals Principal series representations of infinite-dimensional Lie groups, I: Minimal parabolic subgroups

2014 ◽  
pp. 519-538 ◽  
Author(s):  
Joseph A. Wolf
Keyword(s):  
Lie Groups ◽  
Principal Series ◽  
Parabolic Subgroups ◽  
Infinite Dimensional ◽  
Series Representations ◽  
Infinite Dimensional Lie Groups ◽  
Principal Series Representations

Whittaker Functions on Real Semisimple Lie Groups of Rank Two

2010 ◽  
Vol 62 (3) ◽  
pp. 563-581 ◽  
Author(s):  
Taku Ishii
Keyword(s):  
Lie Groups ◽  
Principal Series ◽  
Real Rank ◽  
Whittaker Functions ◽  
Semisimple Lie Groups ◽  
Explicit Formulas ◽  
Series Representations ◽  
Principal Series Representations

AbstractWe give explicit formulas forWhittaker functions on real semisimple Lie groups of real rank two belonging to the class one principal series representations. By using these formulas we compute certain archimedean zeta integrals.

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