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Timeline for Particular decomposition of $SU(n)$

Current License: CC BY-SA 3.0

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Jan 11, 2018 at 16:45 comment added YCor There's a result saying that if $a,b$ generate the Lie algebra, then $\exp(ta)$ and $\exp(t'b)$ generate a dense subgroup for $t,t'$ small enough. It's not enough to conclude but it can help (the answer is certainly yes). Possibly $m=m(a,b)$ has to tend to infinity when $[a,b]$ gets worse (e.g., $a,b$ belong to the 1-sphere and tend to commuting elements).
Jan 11, 2018 at 16:40 history edited YCor
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Jan 11, 2018 at 16:33 history asked Benjamin CC BY-SA 3.0