Unitary Representations of the Poincaré Group Contained in a Class of Representations of the Conformal Group

1969 ◽  
Vol 10 (4) ◽  
pp. 606-613 ◽  
Author(s):  
William H. Klink
Keyword(s):  
Conformal Group ◽  
Unitary Representations ◽  
Poincaré Group ◽  
Poincare Group

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

1980 ◽  
Vol 78 ◽  
pp. 113-136 ◽  
Author(s):  
Hitoshi Kaneta
Keyword(s):  
Quantum Mechanics ◽  
Unitary Representations ◽  
Poincaré Group ◽  
Poincare Group ◽  
Covariant Quantum ◽  
Set Up

Since E. Wigner set up a framework of the relativistically covariant quantum mechanics, several aspects of unitary representations of the Poincaré group have been investigated (see [8], [16]). In this paper it will be shown that some unitary representations of the Poincaré group are irreducible, even if they are restricted to the Poincaré semigroup (Theorem 1, 2 and 3).

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