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SO(2) simple but not semisimple?

  1. Jul 5, 2013 #1
    I read in Mirman's book on group theory that SO(2) is the only simple group that is not semisimple. Can anyone explain this in terms a beginner could understand? I'm not sure how this is possible based on what I've read. Simple groups would seem to be a special case of semisimple groups.
  2. jcsd
  3. Jul 7, 2013 #2

    Stephen Tashi

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    Science Advisor

    I notice the Wikipedia article on List of Simple Lie Groups (http://en.wikipedia.org/wiki/List_of_simple_Lie_groups) says

    - which is more than I know about the subject.
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