Lorentz transformations from reflections: Some applications

Foundations of Physics Letters

Volumn 16, Issue 2, 2003, Pages 111-117

  Urbantke, H K ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

Boost links; Lorentz transformations; Polar decomposition; Reflection groups

Indexed keywords

EID: 0038463661     PISSN: 08949875     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024162409610     Document Type: Article

References (12)

1. É. Cartan, The Theory of Spinors (MIT Press, Cambridge, MA, 1966).
2. J. Dieudonné, Sur les groupes classiques (Paris, Hermann, 1948).
3. W. Greub, Multilinear Algebra, 2nd edn. (Springer, New York, 1978).
4. V. Moretti, "The interplay of the polar decomposition theorem and the Lorentz group," arXiv:math-ph/0211047.
5. J. Dieudonné, Treatise on Analysis, Vol. 5/6 (Academic, New York, 1977).
6. R. U. Sexl and H. K. Urbantke, Relativity, Groups, Particles. Special Relativity and Relativistic Symmetry in Field and Particle Physics (Springer, New York, 2001).
7. H. K. Urbantke, "Physical holonomy, Thomas precession, and Clifford algebra," Am. J. Phys. 58, 747 (1990); 59, 1150 (1991).
8. H. K. Urbantke, "Physical holonomy, Thomas precession, and Clifford algebra," Am. J. Phys. 58, 747 (1990); 59, 1150 (1991).
9. A. A. Ungar, Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession. The Theory of Gyrogroups and Gyrovector Spaces (Kluwer Academic, Dordrecht, 2001).
10. A. A. Ungar, "A note on the Lorentz transformations linking initial and final four-vectors," J. Math. Phys. 33, 84 (1992).
11. H. K. Urbantke, "The Hopf fibration-seven times in physics," J. Geom. Phys. 2001, in print.
12. H. K. Urbantke, "Elementary proof of Moretti's polar decomposition theorem for Lorentz transformations," arXiv:math-ph/0211077.