Lie algebra 4 derivation 4 13N15 3 polynomial ring 2 vector field 2 17B66 1 17B66; 17B05 1 Jacobian derivation 1 Primary 13N15; Secondary 13A99 1 Primary 17B66 1 Primary 17B66; Secondary 17B05 1 Primary 17B66; Secondary 17B30 1 Secondary 17B80 1 abelian ideal 1 centralizer 1 differential equation 1 divergence 1 integrable system 1 jacobian derivation 1 nilpotent Lie subalgebra 1 nilpotent algebra 1 polynomial algebra 1 transcendence basis 1 triangular derivation 1