[[Lie algebra]]
# Lie subalgebra

A **Lie subalgebra** $\mathfrak{h}$ is a [[Subalgebra over a field|subalgebra]] $\mathfrak{h} \leq \mathfrak{g}$ of a [[Lie algebra]] $\mathfrak{g}$, #m/def/lie
i.e. it is closed under the Lie bracket, $[\mathfrak{h},\mathfrak{h}] \sube \mathfrak{h}$.

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#state/tidy | #lang/en | #SemBr