RESEARCH ANNOUNCEMENTS On Certain Automorphism Groups of an Affine Lie Algebra

Let A be an n×n symmetrizable generalized Cartan matrix,g(A)the Kac-Moody Lie algebra associated with A,h the Cartan subalgebra of g(A).Π and Π_vare the root basis and the dual root basis of g(A)respectively.Δ and W are theroot system and the Weyl group of g(A)respectively. Then g(A)=h+∑g_n is a