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- W4299319112 abstract "The Lorentz transformation group $SO(m,n)$ is a group of Lorentz transformations of order $(m,n)$, that is, a group of special linear transformations in a pseudo-Euclidean space of signature $(m,n)$ that leave the pseudo-Euclidean inner product invariant. A parametrization of $SO(m,n)$ is presented, giving rise to the composition law of Lorentz transformations of order $(m,n)$ in terms of parameter composition. The parameter composition, in turn, gives rise to a novel group-like structure called a bi-gyrogroup. Bi-gyrogroups form a natural generalization of gyrogroups where the latter form a natural generalization of groups. Like the abstract gyrogroup, the abstract bi-gyrogroup can play a universal computational role which extends far beyond the domain of pseudo-Euclidean spaces." @default.
- W4299319112 created "2022-10-02" @default.
- W4299319112 creator A5007987799 @default.
- W4299319112 date "2015-05-09" @default.
- W4299319112 modified "2023-09-27" @default.
- W4299319112 title "Parametric Realization of the Lorentz Transformation Group in Pseudo-Euclidean Spaces" @default.
- W4299319112 doi "https://doi.org/10.48550/arxiv.1505.02301" @default.
- W4299319112 hasPublicationYear "2015" @default.
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