Infinite-dimensional Hamiltonian Lie superalgebras
For infinite-dimensional Hamiltonian Lie superalgebra \(H=H(m,n)\) over an algebraically closed field \(F\) of characteristic \(p>2\) it is proved that the standard maximal subalgebra \(H_0\) is invariant with respect to automorphisms of \(H\). The proof is based on the study of ad-nilpotent elements of \(H\) and subalgebras generated by ad-nilpotent elements.
scientific article; zbMATH DE number 5774150