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- W2100728132 abstract "Any complex three-dimensional rotation is determined by a complex vector and by a complex angle of rotation. New, short proofs are given of the homomorphisms between the three-dimensional complex rotation group, the group of unimodular quaternions (or unimodular 2 × 2 matrices) and the restricted Lorentz group. A correspondence is established between certain complex three-dimensional rotation vectors and two-dimensional subspaces of Lorentz vectors. The two-dimensional subspaces which are invariant under a given restricted Lorentz transformation are shown to be determined by those eigenvectors of the corresponding three-dimensional rotation matrix which belong to real eigenvalues. For non-null restricted Lorentz transformations this leads to a proof of Synge's theorem." @default.
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- W2100728132 date "1964-01-01" @default.
- W2100728132 modified "2023-09-27" @default.
- W2100728132 title "Rotations and Lorentz transformations" @default.
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- W2100728132 doi "https://doi.org/10.1016/0029-5582(64)90323-2" @default.
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