  We construct the entire generalized Kac-Moody Lie algebra as a quotient of
the positive part of another generalized Kac-Moody Lie algebra. The positive
part of a generalized Kac-Moody Lie algebra can be constructed from
representations of quivers using Ringel's Hall algebra construction. Thus we
give a direct realization of the entire generalized Kac-Moody Lie algebra.
