It is known that outer automorphisms of semi-simple Lie algebras are automorphisms of their corresponding Dynkin diagrams. But would it be correct to say that for a semi-simple Lie algebra all outer automorphisms are exhausted by outer automorphisms of its simple components and outer automorphisms corresponding to exchanging the simple isomorphic components of the semi-simple algebra?
$\endgroup$ 2 Reset to defaultOuter automorphisms of semi-simple Lie algebras
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