- #1
paweld
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What can we tell about Lie group if we know its Lie algebra.
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?
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?