Timeline for Why are Lie Algebras/ Lie Groups so much like crossed modules, and not?
Current License: CC BY-SA 2.5
7 events
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| Apr 13, 2017 at 12:57 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| May 30, 2010 at 23:46 | comment | added | Theo Johnson-Freyd |
Incidentally, I don't have an answer to your questions, but I wanted to make a remark about the HDA5 example. Namely, a good way to think about the Lie algebra is as the infinitesimal neighborhood of the identity in the group. A better way is to take the group over the dual numbers $K[e]/e^2$, and the Lie algebra is precisely the points near the identity. Then the map "$t$" in the HDA5 example simply takes a point in this larger group to its "shadow", and so clearly respects all structure. Whereas in your construction, you are trying to take an "infinitesimal" quantity and scale it up.
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| May 30, 2010 at 23:33 | history | edited | Theo Johnson-Freyd | CC BY-SA 2.5 |
tried to fix the html
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| Jan 3, 2010 at 5:48 | history | edited | Ben Webster♦ |
edited tags
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| Jan 2, 2010 at 19:02 | history | edited | Scott Carter | CC BY-SA 2.5 |
Added link to Theo Johnson-Freyd's question.
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| Jan 2, 2010 at 1:50 | history | edited | Ben Webster♦ | CC BY-SA 2.5 |
deleted 4 characters in body
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| Jan 2, 2010 at 1:46 | history | asked | Scott Carter | CC BY-SA 2.5 |