[[Lie algebras MOC]]
# Cartan subalgebra

A **Cartan subalgebra** of a [[Lie algebra]] $\mathfrak{g}$ is a [[Nilpotent Lie algebra|nilpotent]] and [[Normalizer in a Lie algebra#^self-normalizing]] [[Lie subalgebra|subalgebra]] $\mathfrak{a} \leq \mathfrak{g}$. #m/def/lie 


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