# Notes on Lie Algebras - Cornell University

The ﬁrst chapter contains the necessary general facts about Lie **algebras**. Semisimplicity is deﬁned and Cartan’s criterion for it in terms of a certain quadratic form, the Killing form, is developed. The chapter also brings the representations of sl(2,**C**), the Lie algebra consisting of the 2 ×2 complex

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