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Homework Help: Question in quaternion multiplication

  1. Jan 12, 2015 #1
    Hi guys,
    I am taking this class in lie groups but the professor never introduced the concept of quaternion and he asked about it. I saw from google the properties of multiplications of j and I made the multiplication according to
    (B + jC)(u + jv) = Bu + Bjv + jCu + j^2Cv = Bu - Cv + j(Cu + Bv)

    but in his answer its C^* and B^* so I was wondering how did he come up with that?


    Attached Files:

  2. jcsd
  3. Jan 12, 2015 #2


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    Homework Helper

    B, C, u and v are not real. They are complex. They have an i component. i doesn't commute with j. Try to show ##Bj=j \bar B## get started.
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