Journal of Lie Theory

no. 1
A Dynamical Approach to Compactify the Three Dimensional Lorentz Group
Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 335-339
The Lorentz group acts on the projectivized light cone in the three dimensional Lorentz space as the group G of Möbius transformations of the circle. We find the closure of G in the space of all measurable functions of the circle into itself, obtaining a compactification of it as an open dense subset of the three-sphere, with a dynamical meaning related to generalized flows.
DOI: 10.5802/jolt.378
Classification: 53C22, 57S20, 58D15, 74A05
Keywords: Compactification, Lorentz group, Möbius transformation, generalized flow 
@article{JOLT_2005_15_1_a22,
     author = {M. Salvai},
     title = {A {Dynamical} {Approach} to {Compactify} the {Three} {Dimensional} {Lorentz} {Group}},
     journal = {Journal of Lie Theory},
     pages = {335--339},
     year = {2005},
     volume = {15},
     number = {1},
     doi = {10.5802/jolt.378},
     zbl = {1067.83002},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.378/}
}
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M. Salvai. A Dynamical Approach to Compactify the Three Dimensional Lorentz Group. Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 335-339. doi: 10.5802/jolt.378

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