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May 21, 2014 at 9:00 vote accept Benjamin
May 14, 2014 at 19:00 answer added José Figueroa-O'Farrill timeline score: 2
May 14, 2014 at 18:57 history edited Benjamin CC BY-SA 3.0
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May 14, 2014 at 18:56 comment added José Figueroa-O'Farrill Indeed. But I’m just pointing out, perhaps unhelpfully, that your first question as written has a trivial answer. Hence, perhaps you’d like to ask a more precise question.
May 14, 2014 at 18:52 comment added Benjamin I should have clarified, right invariant but not bi-invariant. Sorry for the confusion. $B$ is bi-invariant but $w$ is only right invariant. As far as I know such a metric cannot be bi-invariant as $w$ would need to be bi-invariant and there are no such vector fields on $SU(n)$.
May 14, 2014 at 18:51 comment added José Figueroa-O'Farrill The answer to your question is trivially yes, because a bi-invariant metric is right-invariant.
May 14, 2014 at 17:41 answer added Peter Michor timeline score: 3
May 14, 2014 at 17:05 history asked Benjamin CC BY-SA 3.0