Derivation Algebras of Centerless Perfect Lie Algebras Are Complete

Details Derivation Algebras of Centerless Perfect Lie Algebras Are Complete Derivation Algebras of Centerless Perfect Lie Algebras Are Complete

2005-11-22

arxiv.org/abs/math/0511550v1

J. Algebra, 285 (2005), 508-515

Mathematics

Quantum Algebra

LaTeX, 9 pages

Scientific paper

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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