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Derivation Algebras of Centerless Perfect Lie Algebras Are Complete

Yucai Su, Linsheng Zhu

math.QAarXiv:math/0511550

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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