scholarly journals Whittaker models for highest weight representations of semisimple Lie groups and embeddings into the principal series

1987 ◽  
Vol 63 (6) ◽  
pp. 194-197
Author(s):  
Hiroshi Yamashita
Keyword(s):  
Lie Groups ◽  
Principal Series ◽  
Semisimple Lie Groups ◽  
Highest Weight ◽  
Highest Weight Representations ◽  
Whittaker Models

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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