On maximal subalgebras of the conformal algebra \(AC(1,n)\) (Q2703306)

Let \(AC(1,n)\) be a conformal algebra which has no invariant isotropic subspaces in the space \(R_{2,n+1}\) and let \(L\subset AC(1,n)\) be a maximal subalgebra of rank \(n\). For \(L\) the author describes all \(C(1,n)\)-associated algebras. The classification of maximal subalgebras of rank \(n\) of the algebra \(A\widetilde P(1,n)\) which possess one-dimensional invariant isotropic subspaces in the space \(R_{2,n+1}\) is obtained.