scholarly journals Intertwining operators and composition series of generalized and degenerate principal series for Sp(4,R)

2009 ◽  
Vol 44 (2) ◽  
pp. 349-399 ◽  
Author(s):  
Goran Muic
Keyword(s):  
Principal Series ◽  
Intertwining Operators ◽  
Composition Series ◽  
Degenerate Principal Series

scholarly journals Invariant trilinear forms for spherical degenerate principal series of complex symplectic groups

2015 ◽  
Vol 26 (13) ◽  
pp. 1550107 ◽  
Author(s):  
Pierre Clare
Keyword(s):  
Principal Series ◽  
Intertwining Operators ◽  
Symplectic Groups ◽  
Symplectic Forms ◽  
Degenerate Principal Series ◽  
Complex Symplectic

We compute generalized Bernstein–Reznikov integrals associated with standard complex symplectic forms by studying Knapp–Stein intertwining operators between spherical degenerate principal series of [Formula: see text].

scholarly journals REGULAR FUNCTIONS ON THE SHILOV BOUNDARY

2005 ◽  
Vol 04 (06) ◽  
pp. 613-629 ◽  
Author(s):  
OLGA BERSHTEIN
Keyword(s):  
Symmetric Domain ◽  
Principal Series ◽  
Bounded Symmetric Domain ◽  
Bounded Symmetric Domains ◽  
Shilov Boundary ◽  
Generators And Relations ◽  
Regular Functions ◽  
Degenerate Principal Series

In this paper a *-algebra of regular functions on the Shilov boundary S(𝔻) of bounded symmetric domain 𝔻 is constructed. The algebras of regular functions on S(𝔻) are described in terms of generators and relations for two particular series of bounded symmetric domains. Also, the degenerate principal series of quantum Harish–Chandra modules related to S(𝔻) = Un is investigated.

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