%0 Journal Article %T Derivation Algebras of Centerless Perfect Lie Algebras Are Complete %A Yucai Su %A Linsheng Zhu %J Mathematics %D 2005 %I arXiv %X 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. %U http://arxiv.org/abs/math/0511550v1