[tex]T^i K_{ij} = K T^j K^{-1}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

repeated indices imply summation.

[tex]T^i[/tex] are the generators (Lie algebra elements) of SO(3).

i.e.[tex]T^i_{jk} = - \epsilon_{ijk}[/tex]

[tex]T^i \in so(3)[/tex]

[tex]K \in SO(3)[/tex]

How to show it's true?

Is there a universal formula for all Lie group?

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# Is there such an identity about SO(3)?

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