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Finite and infinite unitary transformation

  1. Dec 28, 2014 #1
    hi, i know unitary transformation - but could not get where do we need finite and infinite unitary transformation ?
    please help me in this regard.
  2. jcsd
  3. Dec 28, 2014 #2


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    Science Advisor

    It is not that "we need" or don't need, rather it is the nature of the symmetry group that decides for us. For example, non-compact groups such as the Lorentz group does not have finite-dimensional unitary representations.
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