nLab adjoint bundle

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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.