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A question on group theory

  1. Oct 31, 2005 #1
    Hi all.
    I'm studying Wybourne book on group theory. I didn't understand this expression:
    I know what U(p+q,C) and U(n) means, but I'm unfamiliar with the notation of the above statement.
    Thanks in advance.
  2. jcsd
  3. Nov 1, 2005 #2
    I think U(p,q) denotes the group of complex *unitary* transformations A with respect to a metric g with p plusses and q minusses, i.e
    A* g A = g

    where A* is the standard hermitian conjugate.
  4. Nov 3, 2005 #3
    I think so.
    Thanks dear Careful!
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