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Aug 22, 2012 at 0:02 history edited Jim Humphreys CC BY-SA 3.0
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Aug 22, 2012 at 0:00 comment added Jim Humphreys @Alain: On further thought, I see that I was too hasty in my "answer", so I've edited most of it out. Sorry for the confusion.
Aug 21, 2012 at 21:54 comment added Alain Valette @Jim: I respectfully disagree: $SL_n(\mathbb{R})$ is NOT simply connected for $n\geq 3$ (it is homotopy equivalent to $SO(n)$), so its universal cover is precisely of degree 2, and therefore the answer for the Steinberg group seems to be affirmative.
Aug 21, 2012 at 20:00 history answered Jim Humphreys CC BY-SA 3.0