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Apr 26, 2010 at 14:32 comment added Sam Ruth But in the action you describe, −I acts as the identity. So it's really an action of $PSL(2,R)$ right? Wikipedia says this map gives you an isomorphism between $PSL(2,R)$ and $SO^+(2,1)$. Does this map lift somehow to an isomorphism between $SL(2,R)$ and $SO(2,1)$?
Apr 26, 2010 at 7:38 history answered Keivan Karai CC BY-SA 2.5