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Math Help - Lie Bracket

  1. #1
    ain
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    Lie Bracket

    If we have a f and g matrix, and n=2;

    can we calculate ad_f^(n-4) g . Before this I just calculate for positive value like n-1. Thank you.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by ain View Post
    If we have a f and g matrix, and n=2;

    can we calculate ad_f^(n-4) g . Before this I just calculate for positive value like n-1. Thank you.
    I'm not quite sure what you're asking. Assuming this is \text{ad}_{f^{n-4}}:\mathfrak{gl}_n\left(\mathbb{C}\right)\to \mathfrak{gl}_n\left(\mathbb{C}\right) (with the usual Lie bracket) then I see no way of simplifying your expression.
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