Talk:Table of Lie groups
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[edit] Table layout
I'm having trouble parsing the following:
- connected, not compact, for n≥2: not simply connected
I think that means that:
- For all n, its connected and not compact
- For n=1 it is simply connected
- For n≥2 it is not simply connected
Is that right?
I'm thinking of creating multiple lines for different values of n so that the if-then-else confusion can be eliminated. Am also thinking of replacing above with five columns:
- connected: y/n
- simply connected: y/n
- compact: y/n
- simple: y/n
- semisimple: y/n
This would make the table narrower and easier to read.
Is this a good idea?
I'm thinking of converting from html tables to wiki tables too.
I'm wondering if there should be a column that says
- nilpotent (refering to algebra)
- solvable (ditto)
- center
Everything listed so far seems to not be nilpotent. e.g. Heisenberg group is not listed.
Good or bad idea?
linas 04:30, 7 September 2005 (UTC)
- I updated the table layout per above. Wow, was that ever tedious!
[edit] A template?
I wonder if it would be useful if we made a little template that can be placed at the bottom of each Lie group related page for navigational purposes? --HappyCamper 16:53, 18 August 2006 (UTC)
[edit] SE(3)
I am missing info on SE(3) = Lie group of rigid body transformations. It's a semi-direct product of SO(3) and R^3. --Benjamin.friedrich 13:42, 15 November 2006 (UTC)
