Derivation Algebras of Centerless Perfect Lie Algebras Are Complete

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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.
LaTeX, 9 pages

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Quantum Algebra, Rings and Algebras, 17B05

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http://salesiana.dossiersoluciones.com/handle/123456789/105035

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511550
 http://arxiv.org/abs/math/0511550
 J. Algebra, 285 (2005), 508-515

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arXiv