“Canonical” representations of the Inhomogeneous Lorentz Group

1967 ◽  
Vol 44 (2) ◽  
pp. 266-288 ◽  
Author(s):  
G Lugarini ◽  
M Pauri
Keyword(s):  
Lorentz Group ◽  
Canonical Representations ◽  
Inhomogeneous Lorentz Group

Canonical representations for massless particles and zero-mass limits of the helicity representation

1965 ◽  
Vol 285 (1401) ◽  
pp. 287-296 ◽  
Keyword(s):  
Lorentz Group ◽  
Irreducible Representations ◽  
Two Dimensional ◽  
Euclidean Group ◽  
Positive Mass ◽  
Continuous Spin ◽  
Massless Particles ◽  
Zero Mass ◽  
Canonical Representations ◽  
Inhomogeneous Lorentz Group

The global forms of the unitary irreducible representations of the inhomogeneous Lorentz group corresponding to zero mass and finite or continuous spin are constructed by means of the little-group technique from those of the two-dimensional Euclidean group, and it is shown that these representations may be derived from the helicity representation for positive mass by taking suitable limits.

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