## irreducible representations of O(2) - reference?

I am looking for a list of the irreducible representations of O(2). Could someone please provide a reference?

EDIT: I am particularly interested in the representations on IR^2 (irreducible or not)

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Real or complex? – S. Carnahan Sep 2 2010 at 12:00
For SO(n,C), see Theorem 2 here: books.google.com/… – mathphysicist Sep 2 2010 at 13:02
If you are interested in complex irreps, then the book mentioned in the (deleted) answer by mathphysicist has the answer: it is Theorem 11.3, except that as stated the theorem is not right because it fails to mention that this is true for complex irreps. – José Figueroa-O'Farrill Sep 2 2010 at 13:51
@mathphysicist: I would undelete your answer and simply point out the above "caveat". – José Figueroa-O'Farrill Sep 2 2010 at 13:52
@Jose: I've just undeleted the answer. – mathphysicist Sep 2 2010 at 15:14