Derivation Algebras of Centerless Perfect Lie Algebras Are Complete
classification
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algebracenterlesscompletederivationperfectalgebrasarbitrarycharacteristic
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It is proved that the derivation algebra of a centerless perfect Lie algebra of arbitrary dimension over any field of arbitrary characteristic is complete and that the holomorph of a centerless perfect Lie algebra is complete if and only if its outer derivation algebra is centerless.
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