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Feb 16, 2019 at 17:58 vote accept Arno
Feb 16, 2019 at 14:12 comment added Arno The argument can be adapted to move directly from an arbitrary metric to the bi-invariant one, and thus serves my needs (upvote!). Invoking Birkhoff-Kakutani seems overkill though.
Feb 7, 2019 at 19:28 comment added Nate Eldredge @YCor: Ah, of course. I need to read more carefully.
Feb 7, 2019 at 17:23 history edited R W CC BY-SA 4.0
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Feb 7, 2019 at 17:16 comment added YCor @NateEldredge the argument shows how to pass from left-invariant to bi-invariant.
Feb 7, 2019 at 17:07 history answered R W CC BY-SA 4.0