Yeah Lie Albegras and exponetial maps and stuff.

Lie bracket is given by Lie bracket of the left invariant extensions identified at the identity. You have exponential map from Lie Algebra to the Lie Group.

I'm pretty sick of it now.

Posted By: Leamington Yellow on April 18th 2008 at 12:45:05

Message Thread

Physics is hard but jolly worth it. (General Chat) - Tomblander, Apr 18, 12:13:45
- Lie Groups (General Chat) - yarmyyarmy, Apr 18, 12:22:46
  - I am revising them (General Chat) - Leamington Yellow, Apr 18, 12:38:43
    - Ahh yes - the "infinitesmial group" i.e. tangent space is what the Lie Algebra is (General Chat) - Partial Angler, Apr 18, 12:40:16
      - Yeah Lie Albegras and exponetial maps and stuff. (General Chat) - Leamington Yellow, Apr 18, 12:45:05
  - Me too - it's a group which is also a smooth manifold (General Chat) - Partial Angler, Apr 18, 12:25:11
    - Example: unit circle in complex plane is a 1-d Lie group under complex multiplication (n/m) (General Chat) - Partial Angler, Apr 18, 12:29:12
      - googletastic! (n/m) (General Chat) - NCFC4life, Apr 18, 12:31:03
        
        I had a degree in this stuff once (General Chat) - Partial Angler, Apr 18, 12:35:35
        
        I have to teach the physics of diving to some unfortunate people (n/m) (General Chat) - NCFC4life, Apr 18, 12:49:44
        
        ...... (General Chat) - Tomblander, Apr 18, 13:06:28
        
        heavy stuff sinks but fish have got air in them so can go near the top (n/m) (General Chat) - malkybarkid, Apr 18, 13:04:37
        
        Water is at its densest at four degrees and that's why ice floats (n/m) (General Chat) - Partial Angler, Apr 18, 13:05:07
        
        plus if you put lead in a pond (where the water is about five degrees) it will make its (General Chat) - malkybarkid, Apr 18, 13:07:52
        
        whereas dead cats float (n/m) (General Chat) - Partial Angler, Apr 18, 13:11:13
        
        shitarses (n/m) (General Chat) - malkybarkid, Apr 18, 13:13:36
- Insane in the M-brane (n/m) (General Chat) - Partial Angler, Apr 18, 12:14:58
  - Turnover is for vanity, profit is for sanity (n/m) (General Chat) - malkybarkid, Apr 18, 12:16:14
    - Apple turnover is for tea. Discussing prophets can be dangerous. (n/m) (General Chat) - Partial Angler, Apr 18, 12:26:51
    - Turnover is for jobs, excess profit is for greed (General Chat) - Cannydc, Apr 18, 12:22:23
      - excess profit is for (General Chat) - Tomblander, Apr 18, 12:26:45
      - Yeah, you tell 'em, Red. (n/m) (General Chat) - Arizona Bay, Apr 18, 12:24:18
        
        Presumably, under the Thatcher diktat (General Chat) - Cannydc, Apr 18, 12:27:02
        
        blimey that's at least two "diktat" appearances on here in less than a month (General Chat) - Tomblander, Apr 18, 12:49:52
    - Trebles for show, doubles for dough. (n/m) (General Chat) - jafski, Apr 18, 12:20:32
    - Everyone in Flatland is absolutely flat (General Chat) - Tomblander, Apr 18, 12:18:38
      - what style of property do they live in? (n/m) (General Chat) - lovely old job, Apr 18, 12:20:08
        
        Oddly enough... It looks like an Apple! (General Chat) - Tomblander, Apr 18, 12:22:06
        
        Ooh, I love Carl Sagan (General Chat) - yarmyyarmy, Apr 18, 12:26:20

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