These are the notes of a course on Lie algebras which I gave at the university of Bordeaux in spring 1997. The course was a so-called "Cours PostDEA", and as such had to be held within 12 hours. Even more challenging, no previous knowledge about Lie algebras should be assumed. Nevertheless, I had the goal to reach as peak of the course the character formula for Kac-Moody algebras, and, at the same time, to give complete proofs as far as possible.

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