Derivations of octonion matrix algebras
Abstract
It is well-known that the exceptional Lie algebras f4 and g2 arise from the octonions as the derivation algebras of the 3×3 hermitian and 1×1 antihermitian matrices, respectively. Inspired by this, we compute the derivation algebras of the spaces of hermitian and antihermitian matrices over an octonion algebra in all dimensions.
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