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Fundamental representations

  1. May 27, 2010 #1
    Hi folks - I have a couple of basic questions about fundamental
    representations.

    First of all, does every group have a set of fundamental
    representations?

    Secondly, I know that in the case of the (compact?) semi-simple groups, any other
    representation of the group can be constructed by taking tensor
    products of its L fundamental representations, where L is the group's
    rank. Is this the case for all groups, or just the semi-simple ones?

    Any help would be really appreciated. Thanks!
     
  2. jcsd
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