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

Zbl EuDML
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.
Classification : 53C22, 57S20, 58D15, 74A05
Mots-clés : Compactification, Lorentz group, Möbius transformation, generalized flow 
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/JOLT_2005_15_1_a22/
@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},
     zbl = {1067.83002},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2005_15_1_a22/}
}
TY  - JOUR
AU  - M. Salvai
TI  - A Dynamical Approach to Compactify the Three Dimensional Lorentz Group
JO  - Journal of Lie Theory
PY  - 2005
SP  - 335
EP  - 339
VL  - 15
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JOLT_2005_15_1_a22/
ID  - JOLT_2005_15_1_a22
ER  - 
%0 Journal Article
%A M. Salvai
%T A Dynamical Approach to Compactify the Three Dimensional Lorentz Group
%J Journal of Lie Theory
%D 2005
%P 335-339
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2005_15_1_a22/
%F JOLT_2005_15_1_a22