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  1. From the Group SL(2, C) to Gyrogroups and Gyrovector Spaces and Hyperbolic Geometry.Jingling Chen & Abraham A. Ungar - 2001 - Foundations of Physics 31 (11):1611-1639.
    We show that the algebra of the group SL(2, C) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing with the Lorentz group and its underlying hyperbolic geometry. The superiority of the use of the gyrogroup formalism over the use of the SL(2, C) formalism for dealing with the Lorentz group in some cases is indicated by (i) the validity of gyrogroups and gyrovector spaces in higher dimensions, by (ii) the analogies that they share with groups and (...)
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