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Possible Duplicate:
lie algebra semisimple?

How can I construct a perfect Lie algebra which is not simple?

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Take the product of two simple Lie algebras. (J/k. See here: mathoverflow.net/questions/60498/….) – Moosbrugger Jan 12 2012 at 1:48
@Moosbrugger: I think that the OP is actually interested in non-semisimple Lie algebras. – José Figueroa-O'Farrill Jan 12 2012 at 2:50

closed as exact duplicate by Qiaochu Yuan, S. Carnahan Jan 12 2012 at 3:29

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