Abstract
The abstract Lorentz group can be realized by any finite or infinite gyrocommutative gyrogroup in various ways, depending on the choice of the cocyclic map ρ(v). The realization of the abstract Lorentz group by means of Einstein’s gyrogroup of relativistically admissible velocities, obtaining the standard Lorentz group of special relativity theory, is presented in Chapter 10. In this chapter we will present a nonstandard Lorentz group, which is based on the Ungar gyrogroup of relativity velocities.
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© 2001 Kluwer Academic Publishers
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Ungar, A.A. (2001). Other Lorentz Groups. In: Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession. Fundamental Theories of Physics, vol 117. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9122-0_12
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DOI: https://doi.org/10.1007/978-94-010-9122-0_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-6910-3
Online ISBN: 978-94-010-9122-0
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