What can we tell about Lie group if we know its Lie algebra.(adsbygoogle = window.adsbygoogle || []).push({});

Let's consider the following example: we have three elements

of Lie algebra which fulfill condition [tex] [L_i,L_j]=i \epsilon_{ijk}L_k [/tex].

The corresponding Lie group is SU(2) or SO(3) (are there any other?).

Does anyone know what condition on Lie group is imposed by Lie algebra?

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# Lie group and Lie algebra

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