Timeline for Lie algebra "generated" by matrix-valued curve?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 9, 2012 at 23:31 | history | edited | Robert Bryant | CC BY-SA 3.0 |
Corrected some bad notation
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| Apr 9, 2012 at 22:16 | comment | added | AlexArvanitakis | That's what I was looking for. Thank you very much for your time! | |
| Apr 9, 2012 at 21:43 | history | edited | Robert Bryant | CC BY-SA 3.0 |
Added answer to the modified question.
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| Apr 9, 2012 at 2:20 | vote | accept | AlexArvanitakis | ||
| Apr 9, 2012 at 2:20 | comment | added | AlexArvanitakis | That is correct, of course. (One of) the logarithms of V(1) as given above is $i \pi\mathbf{1}_2$−[0 1;0 0] (That last one is the $2\times 2$ upper triangular nilpotent matrix with -1 on the superdiagonal). If I were to enlarge $\mathfrak{g}$ to $\mathfrak{g'}$ by including the unit matrix, would I then get a logarithm in $\mathfrak{g'}$? (I will edit the question to include this tomorrow) | |
| Apr 9, 2012 at 1:43 | history | answered | Robert Bryant | CC BY-SA 3.0 |