Linked from

The 6 pages that link to Adjoint representation, each with the reason it gives.

• Lie groupRelated: It describes how group symmetries transform infinitesimal directions.

• Lie algebraRelated: It shows how symmetry transformations act on infinitesimal generators.

• Lie bracketRelated: The Jacobi identity makes the operation of bracketing with a fixed element a derivation.

• Jacobi identityBroader topic: The identity is equivalent to the adjoint action preserving brackets.

• Engel's theoremRelated: Nilpotence of these actions gives the intrinsic Lie-algebra formulation of Engel's theorem.

• Ado's theoremRelated: It gives a natural first action, though its kernel is the center.