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
This publication has 4 references indexed in Scilit:
- Formula for the computation of the representation matrix elements of the group S O (n)Journal of Mathematical Physics, 1975
- Recursive Method for the Computation of the SOn, SO n,1, and ISOn, Representation Matrix ElementsJournal of Mathematical Physics, 1971
- Unitary Irreducible Representations of the Groups SO(n, 1)Journal of Mathematical Physics, 1971
- Class of Representations of the IU(n) and IO(n) Algebras and Respective Deformations to U(n, 1), O(n, 1)Journal of Mathematical Physics, 1968