Contents

# Contents

## Definition

For $G$ a compact Lie group with Lie algebra $\mathfrak{g}$, a Cartan subalgebra of $\mathfrak{g}$ is a sub-Lie algebra

$\mathfrak{t} \hookrightarrow \mathfrak{g}$

that is the Lie algebra of a maximal torus

$T \hookrightarrow G \,.$

More generally…

## References

Last revised on January 10, 2017 at 11:15:19. See the history of this page for a list of all contributions to it.