I am reading the text Group Theory A Physicist's Survey of Ramond, in particular chapter 7.(adsbygoogle = window.adsbygoogle || []).push({});

He explains classical lie algebra structure using cartan generators and root generators.

He sometimes uses reality condition of structure constant( i think he supposes that all generators are

hermitian)

But i think root generators are not hermitian in general and i can't using reality condition of structure constant.

Can you tell me what i missed?

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# About cartan and root generators of lie algebra

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