On generalized tube domains over

Author(s):  
Egmont Porten *
Keyword(s):  
Author(s):  
Hideto Nakashima

AbstractIn this paper, we give necessary and sufficient conditions for a homogeneous cone Ω to be symmetric in two ways. One is by using the multiplier matrix of Ω, and the other is in terms of the basic relative invariants of Ω. In the latter approach, we need to show that the real parts of certain meromorphic rational functions obtained by the basic relative invariants are always positive on the tube domains over Ω. This is a generalization of a result of Ishi and Nomura [Math. Z. 259 (2008), 604–674].


2000 ◽  
Vol 101 (3) ◽  
pp. 3172-3189
Author(s):  
L. I. Ronkin
Keyword(s):  

2013 ◽  
Vol 59 (6) ◽  
pp. 769-786 ◽  
Author(s):  
Michael Gilliam ◽  
Jennifer Halfpap

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