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Adjoint representation

  1. Aug 1, 2007 #1
    what is the sufficient condition for the kernel of an adjoint representation to be the center of the Lie group?

    Does the Lie group have to be non-compact and connected, etc?
  2. jcsd
  3. Aug 1, 2007 #2
    If the Lie group is connected, the claim holds. So I heard. Is there any chance that you are studying automorphic representations and their L-functions? If so, please let me know good references to start with. Also, references for representation theory. Thanks.:smile:
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