  In this paper, we determine derivations of Borel subalgebras and their
derived subalgebras called nilradicals, in Kac-Moody algebras (and
contragredient Lie algebras) over any field of characteristic 0; and we also
determine automorphisms of those subalgebras in symmetrizable Kac-Moody
algebras. The results solve a conjecture posed by R. V. Moody about 30 years
ago which generalizes a result by B. Kostant and which is discussed by A.
Fialowski using Lie algebra cohomology in case of affine type.
