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Derivation Algebras of Centerless Perfect Lie Algebras Are Complete

Yucai Su·Linsheng Zhu
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Abstract

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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Yucai Su, Linsheng Zhu. 2005-11-22. Derivation Algebras of Centerless Perfect Lie Algebras Are Complete. https://arxiv.org/abs/math/0511550

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