Timeline for Words in two infinitismal rotations
Current License: CC BY-SA 2.5
4 events
when toggle format | what | by | license | comment | |
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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 |