Talk:Clebsch-Gordan coefficients

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In the Symmetry section, what is j_3?

[edit] Bra-ket notation:

Does anyone think it worthwhile to mention that < | > is Diracs bra-ket notation to avoid confusion (assuming that it is!)--Light current 00:02, 15 November 2005 (UTC)

I added a sentence with a link to the bra-ket article. --agr 14:52, 15 November 2005 (UTC)

[edit] Typo?

In the first paragraph there is a sentence "to perform the explicit direct sum decomposition of the tensor product of two irreducible representations into irreducible representations". Should a correction be made to read "to perform the explicit direct sum decomposition of the tensor product of two reducible representations into irreducible representations"? Njmayhall (talk) 05:05, 8 January 2008 (UTC)

The statement in the first paragraph is correct. It works like this: if you start with two irreducible representations and take the tensor product, then the result may be reducible. The Clebsch-Gordan coefficients tell you how to turn this reducible representation into a direct sum of irreducible representations - gerritg (talk) 20:53, 25 January 2008 (UTC)
I think I understand, after the explanation here, but I really think that the wording in the article itself is awfully confusing, the way irreducible shows up twice. --Qrystal (talk) 20:54, 13 May 2008 (UTC)