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Lie groups

  1. Dec 20, 2003 #1
    Ok, is my blame for not wanting to buy a Group theory book, but anyway:
    I'm searching the correct definition for the Lie groups SO(n) and SU(n), and these are the definitions that I've found until now:
    Well, what's the correct definition?? Or, if they are wrong, what's the exact definition of SO(n) and SU(n)?

    Thanks
     
    Last edited: Dec 20, 2003
  2. jcsd
  3. Dec 20, 2003 #2

    mathman

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    I'm a little rusty on the definitions, but here goes. Special means determinant = 1. Orthogonal matrices are usually discussed as real matrices, while unitary matrices are always complex. In that case, all the definitions for SO are the same, as is true for SU.
     
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