paper

Derivation Algebras of Centerless Perfect Lie Algebras Are Complete

arXiv: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.

arXiv commentLaTeX, 9 pages