KnowraPoincaré–Birkhoff–Witt theoremLinked fromLinked fromThe 2 pages that link to Poincaré–Birkhoff–Witt theorem, each with the reason it gives.All 2Related 2Ado's theoremRelated: It controls the algebraic structure used to build finite-dimensional representations.Capelli identityRelated: Ordered monomials make precise the algebraic setting behind the identity’s noncommuting products.