The conjugacy of Cartan subalgebras in \(n\)-Lie algebras (Q1374908)

Let \(A\) be a finite-dimensional \(n\)-Lie algebra over an algebraically closed field of characteristic 0. For elements \(x\) in \(A\) having a certain special form, let \(R_x\) be the operator of right multiplication by \(x\). Then \(\exp R_x= 1+R_x+ \frac{1}{2!} R_x^2+\dots+ \frac{1}{n!} R_x^n+\dots\) is an automorphism of \(A\), and the author calls the group generated by these automorphisms the group of special automorphisms of \(A\). For \(H\) and \(H'\) Cartan subalgebras of \(A\), he then shows that there exists a special automorphism \(\rho\) of the algebra \(A\) such that \(H'= H^\rho\).