scholarly journals On the decomposition of tensor products of principal series representations for real-rank one semisimple groups

1975 ◽  
Vol 201 ◽  
pp. 177-177 ◽  
Author(s):  
Robert Paul Martin
Keyword(s):  
Tensor Products ◽  
Principal Series ◽  
Real Rank ◽  
Semisimple Groups ◽  
Series Representations ◽  
Rank One ◽  
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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