nLab
adjoint bundle

Context

Bundles

Contents

Definition

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