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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

    Dick

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    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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