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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• ISSN: 1815-0659
• Main Authors: Red'kov, V.M., Bogush, A.A., Tokarevskaya, N.G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148991
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices / V.M. Red'kov, A.A. Bogush, N.G. Tokarevskaya // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 75 назв. — англ.

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...