+-- {: .rightHandSide} +-- {: .toc .clickDown tabindex="0"} ###Context### #### Lie theory +--{: .hide} [[!include infinity-Lie theory - contents]] =-- =-- =-- #Contents# * table of contents {:toc} ## Definition A _complex Lie algebra_ is a [[Lie algebra]] [[internalization|internal]] to [[complex vector spaces]]. ## Related concepts * [[complex Lie group]] ## References * Adam Kaye, _Complex Lie algebras_ ([pdf](http://www-personal.umich.edu/~adamkaye/papers/Kaye.pdf)) * [[Terry Tao]], _[Notes on the classification of complex Lie algebras](http://terrytao.wordpress.com/2013/04/27/notes-on-the-classification-of-complex-lie-algebras/)_ [[!redirects complex Lie algebras]]