scholarly journals Unitary Representations of the Inhomogeneous Lorentz Group and Their Significance in Quantum Physics

2014 ◽  
pp. 265-278
Author(s):  
Norbert Straumann
Keyword(s):  
Lorentz Group ◽  
Quantum Physics ◽  
Unitary Representations ◽  
Inhomogeneous Lorentz Group

scholarly journals Decomposition of representations of SL(2, C) induced by the continuous series of E(2)

1980 ◽  
Vol 78 ◽  
pp. 95-111
Author(s):  
Hitoshi Kaneta
Keyword(s):  
Lorentz Group ◽  
Unitary Representations ◽  
Continuous Series ◽  
Induced Representations ◽  
Irreducible Unitary Representations ◽  
Inhomogeneous Lorentz Group

Since the representations of SL(2, C) induced by irreducible unitary representations of appear as the restriction to the Lorentz group of some irreducible unitary representations of the inhomogeneous Lorentz group, the decomposition of the induced representations deserves our investigation. For the representations of SL(2, C) induced by irreducible unitary representations with discrete spin of E(2), the decomposition has been obtained by Mukunda [9]. We hope that our analysis will justify the calculations by Chakrabarti [1], [2] and [3].

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