On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices

On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices

Parametrization of 4 × 4-matrices G of the complex linear group GL(4,C) in terms of four complex 4-vector parameters (k,m,n,l) is investigated. Additional restrictions separating some subgroups of GL(4,C) are given explicitly. In the given parametrization, the problem of inverting any 4 × 4 matrix G...

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Bibliographic Details
Main Authors: Natalia G. Tokarevskaya, Andrei A. Bogush, Victor M. Red'kov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2008-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Dirac matrices
linear group
unitary group
Gell-Mann basis
parametrization
Online Access:http://dx.doi.org/10.3842/SIGMA.2008.021

Internet

http://dx.doi.org/10.3842/SIGMA.2008.021

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