Subalgebras and automorphisms of Lie algebras of Cartan type
All subalgebras of minimal codimension are described in the Lie algebras \(W_ n\), \(S_ n\), \(H_ n\), \(K_ n\) of Cartan type and in the corresponding Lie algebras of all polynomial vector fields on an affine space, and also in the Lie algebra of all regular vector fields on an affine manifold.
scientific article; zbMATH DE number 3955171