2,1) representation of $SU(2)\times SU(2)$?

Asked Nov 23 '14 at 15:55

Active Nov 23 '14 at 15:58

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What's the difference between the $j = 1/2$ representation of $SU(2)$ and the $(j,j') = ( 1/2 , 1 )$ representation of $SU(2)\times SU(2)$?

edited Nov 23 '14 at 15:58

Qmechanic

asked Nov 23 '14 at 15:55

Lior

Related question by OP: http://physics.stackexchange.com/q/147987/2451 – Qmechanic Nov 23 '14 at 15:57
2

What do you mean "what's the difference"? They are representations of different groups, that's what's different! – ACuriousMind Nov 23 '14 at 18:14
For one thing, they have different dimensionalities: – Cosmas Zachos Feb 21 '16 at 23:43
2 dimensional for the first, and six dimensional for the second. Also as the previous commenter points out, there is one group and one rotation angle for the first, and 2 different groups with 2 angles for the second. In the linked question I am getting to the source of your confusion, I think. – Cosmas Zachos Feb 21 '16 at 23:54

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