scholarly journals Errata: The Representations of the Inhomogeneous Lorentz Group in Terms of an Angular Momentum Basis

1965 ◽  
Vol 6 (4) ◽  
pp. 670-670 ◽  
Author(s):  
J. S. Lomont ◽  
H. E. Moses
Keyword(s):  
Angular Momentum ◽  
Lorentz Group ◽  
Inhomogeneous Lorentz Group

Edth-a differential operator on the sphere

1982 ◽  
Vol 92 (2) ◽  
pp. 317-330 ◽  
Author(s):  
Michael Eastwood ◽  
Paul Tod
Keyword(s):  
Angular Momentum ◽  
Differential Operator ◽  
Lorentz Group ◽  
Space Time ◽  
Conformal Group ◽  
Theory Of Relativity ◽  
Asymptotically Flat ◽  
Group 4 ◽  
Lowering Operator ◽  
Inhomogeneous Lorentz Group

Introduction. In (9) Newman and Penrose introduced a differential operator which they denoted ð, the phonetic symboledth. This operator acts onspin weighted, orspinandconformally weightedfunctions on the two-sphere. It turns out to be very useful in the theory of relativity via the isomorphism of the conformal group of the sphere and the proper inhomogeneous Lorentz group (11, 4). In particular, it can be viewed (2) as anangular momentum lowering operatorfor a suitable representation of SO(3) and can be used to investigate the representations of the Lorentz group (4). More recently, edth has appeared in thegood cut equationdescribing Newman'sℋ-spacefor anasymptotically flatspace-time (10). This development is closely related to Penrose's theory oftwistorsand, in particular, toasymptotic twistors(14).

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