Lie Group: Difference between revisions
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$\R / \Z$ is a $1$-dimensional Lie group. | $\R / \Z$ is a $1$-dimensional Lie group. | ||
=== Matrix Lie Groups === | |||
$GL_n(\R)$ | |||
Revision as of 09:27, 19 January 2026
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
$GL_n(\R)$