Note on the computation formula of the boost matrices of SO(n−1,1) and continuation to the d matrices of SO(n)
- 1 December 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (12) , 2372-2374
- https://doi.org/10.1063/1.522500
Abstract
The general formula of computing the boost matrices of SO(n−1,1), which is valid for the single‐ and double‐valued representations and is similar to that of Vilenkin and Wolf, is given. It is noted that a phase factor of a unit magnitude in the boost matrices must be taken into account in analytic continuation to the d matrices of SO(n), and then the formula of computing the d matrices of SO(n) is given. It is remarked that the d matrices of SO(n) are expressed in terms of those of SO(n−1).Keywords
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