Geodesic
A Dynamical Approach to Compactify the Three Dimensional Lorentz Group
Journal of Lie theory, Tome 15 (2005) no. 1, pp. 335-339

Voir la notice de l'article provenant de la source Heldermann Verlag

The Lorentz group acts on the projectivized light cone in the three dimensional Lorentz space as the group G of M�bius 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.
Classification : 53C22, 57S20, 58D15, 74A05
Mots-clés : Compactification, Lorentz group, M�bius transformation, generalized flow 
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M. Salvai . A Dynamical Approach to Compactify the Three Dimensional Lorentz Group. Journal of Lie theory, Tome 15 (2005) no. 1, pp. 335-339. http://geodesic.mathdoc.fr/item/JLT_2005_15_1_JLT_2005_15_1_a22/