✦ LIBER ✦

Some Complete Lie Algebras

✍ Scribed by C.P. Jiang; D.J. Meng; S.Q. Zhang

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 137 KB
Volume: 186
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0396

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✦ Synopsis

We give the derivation algebra Der H and the holomorph ᒅ H of the finite dimensional Heisenberg algebra H over the complex field C. We also give the Ž . Ž . Ž . derivation algebra Der ᒅ H of ᒅ H . We prove that Der H is a simple complete Ž . Lie algebra, ᒅ H is not a complete Lie algebra, but its derivation algebra Ž . Der ᒅ H is a simple complete Lie algebra.

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