I have been reading Georgi "Lie Algebras in Particle Physics" and on page 183 he mentions how that the SU(3) defining representation decomposes into an SU(2) doublet with hyperchage (1/3) and singlet with hypercharge (-2/3). I am confused on how he knows this. I apologize if this is not the right place to put such a question.(adsbygoogle = window.adsbygoogle || []).push({});

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# SU(3) defining representation (3) decomposition under SU(2) x U(1) subgroup.

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