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Timeline for Words in two infinitismal rotations

Current License: CC BY-SA 2.5

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Dec 15, 2010 at 9:45 comment added Bill Thurston Sorry for abuse of notation. I was thinking of using the Lie algebra as a local coordinate system. I think getting a neat form for the exact order of vanishing is probably complicated, but I haven't thought about it enough (and I'm not an expert). I believe it requires the higher order approximations of group multiplication in exponential coordinates: the Baker-Campbell-Hausdorff formula.
Dec 15, 2010 at 9:23 comment added David Feldman Thanks!! BTW, either you simply didn't mean to reuse the same variables A and B in the basis and then again in the commutator relation, or there's something I don't fully understand. So does the theory offer a characterization of words in my $A$ and $B$ that vanish to order k?
Dec 15, 2010 at 9:17 vote accept David Feldman
Dec 15, 2010 at 9:09 history answered Bill Thurston CC BY-SA 2.5