scholarly journals Irreducibility of some unitary representations of the Poincaré group with respect to the Poincaré subsemigroup, III

1982 ◽  
Vol 87 ◽  
pp. 175-225
Author(s):  
Hitoshi Kaneta
Keyword(s):  
Unitary Representations ◽  
Poincaré Group ◽  
Poincare Group ◽  
Irreducible Unitary Representations

The aim of this paper is to prove that irreducible unitary representations of the Poincaré group P = R4 × SSL(2, C) are reducible as the representations of the Poincaré subsemigroup P+ = V+ × SSL(2, C) with

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