How can you tell if two Lie groups are isomorphic to each other?(adsbygoogle = window.adsbygoogle || []).push({});

If you have a set of generators, T^{i}, then you can perform a linear transformation:

T'^{i}=a_{ij}T^{j}

and these new generators T' will have different structure constants than T.

Isn't it possible to always find a linear transformation a_{ij}to make the structure constants anything you want?

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# How do you tell if lie groups are isomorphic

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