Linear representations of any dimensional Lorentz group and computation formulas for their matrix elements

1979 ◽  
Vol 20 (4) ◽  
pp. 691-711 ◽  
Author(s):  
Takayoshi Maekawa
Keyword(s):  
Lorentz Group ◽  
Matrix Elements ◽  
Linear Representations

On non-compact groups. II. Representations of the 2+1 Lorentz group

1965 ◽  
Vol 287 (1411) ◽  
pp. 532-548 ◽  
Keyword(s):  
Hilbert Space ◽  
Direct Product ◽  
Lorentz Group ◽  
Complex Number ◽  
Algebraic Method ◽  
Unitary Representations ◽  
Compact Groups ◽  
Matrix Elements ◽  
Linear Representations ◽  
The Matrix

A simple algebraic method based on multispinors with a complex number of indices is used to obtain the linear (and unitary) representations of non-com pact groups. The method is illustrated in the case of the 2+1 Lorentz group. All linear representations of this group, their various realizations in Hilbert space as well as the matrix elements of finite transformations have been found. The problem of reduction of the direct product is also briefly discussed.

Linear Representations of the Lorentz Group

1968 ◽  
Vol 52 (379) ◽  
pp. 101
Author(s):  
D. F. Johnston ◽  
M. A. Naimark
Keyword(s):  
Lorentz Group ◽  
Linear Representations
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