Lower Central Series Method

A technique that studies a group or Lie algebra via its lower central series γ_1 = G (or g), γ_{n+1} = [G, γ_n] (or [g, γ_n]) — the descending sequence of commutator subgroups or ideals — to measure and exploit nilpotent structure, compute nilpotency class, and construct associated graded Lie algebras.