# nLab adjoint bundle

### Context

#### Bundles

bundles

fiber bundles in physics

# Contents

## Definition

For $G$ a Lie group and $\mathfrak{g}$ its Lie algebra, and for $P \to X$ a $G$-principal bundle, the corresponding adjoint bundle is the associated bundle $P \times_G \mathfrak{g} \to X$ via the adjoint action/adjoint representation of $G$ on $\mathfrak{g}$.

Created on February 8, 2013 at 12:24:22. See the history of this page for a list of all contributions to it.