nLab
adjoint representation

Every Lie group GG has a canonical representation on the vector space underlying its Lie algebra 𝔤\mathfrak{g}, given by the derivative of its adjoint action at the neutral element. This is called the adjoint representation.

The associated bundles via the adjoint representation are called adjoint bundles.

Revised on February 8, 2013 12:22:27 by Urs Schreiber (89.204.138.214)