Dimension of a real Lie group

Definition
Let $$G$$ be a real Lie group. The dimension of $$G$$ is defined as the dimension of its underlying differential manifold.

Related notions

 * Dimension of a complex Lie group
 * Dimension of an algebraic group: Any real algebraic group naturally acquires a real Lie group structure. The dimension as a real Lie group equals the dimension as a real algebraic group.