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Representation algebra

  1. Aug 28, 2006 #1
    (If the following equations do not display OK, try refreshing it a few times.)

    [tex]3 \otimes 3 &=& \bar 3 \oplus 6, \quad qq,[/tex]

    [tex]3 \otimes \bar 3 &=& 1 \oplus 8, \quad q\bar q, \, \quad q[qq]_{\bar 3},[/tex]

    [tex]\bar 3 \otimes \bar 3 &=& ?, \quad \bar q\bar q,[/tex]

    [tex]3 \otimes 3 \otimes 3 &=& \left( \bar 3 \oplus 6 \right) \otimes 3 = 1 \oplus 8_{\bar 3} \oplus 8_{6} \oplus 10, \quad qqq, [/tex]

    [tex]3 \otimes 6 &=& 8 \oplus 10 \quad q[qq]_{6},[/tex]

    [tex]8 \otimes 8 &=& ? , \quad gg, [/tex]

    [tex]8 \otimes 8 \otimes 8 &=& ?, \quad gg[/tex]

    Could somebody help me with the last few unanswered equations?
     
    Last edited: Aug 28, 2006
  2. jcsd
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