---
type: "concept"
title: "Lie group"
slug: "lie-group"
language: "en"
translationGroupId: "cms2zl6ym0003lm01e6jcerty"
domain: "Groups"
status: "stub"
aliases: []
lastEditedBy: "ancient-tree"
---

A Lie group is [[Smooth manifold|smooth manifold]] that is also a [[Group|group]], such that the group operations
$$(g,h)\mapsto gh,\quad g\mapsto g^{-1}$$
are [[Smooth map|smooth maps]].