Lie Group
Definition
Morphisms
Examples
Let $V$ be a vector space. Then $(V, +)$ is a Lie group.
$(\Z, +)$ is a $0$-dimensional Lie group.
$\R / \Z$ is a $1$-dimensional Lie group.
Matrix Lie Groups
$GL_n(\R)$
Let $V$ be a vector space. Then $(V, +)$ is a Lie group.
$(\Z, +)$ is a $0$-dimensional Lie group.
$\R / \Z$ is a $1$-dimensional Lie group.
$GL_n(\R)$