KnowraAdjoint representationLinked fromLinked fromThe 6 pages that link to Adjoint representation, each with the reason it gives.All 6Broader topic 1Related 5Lie 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.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.