Title: Subalgebra generated by ad-locally nilpotent elements of Borcherds Generalized Kac-Moody Lie algebras
Abstract: We determine the Lie subalgebra gnil of a Borcherds symmetrizable generalized Kac-Moody Lie algebra g generated by ad-locally nilpotent elements and show that it is ‘essentially’ the same as the Levi subalgebra of g with its simple roots precisely the real simple roots of g.