ABSTRACT

Affine Kac-Moody Algebras: (Complex) The classification of the finite indecomposable G.C.M., and of the associated Lie algebras, the simple Lie algebras, is a classical work going back to Cartan [6]. Kac [31] and Moody [50] have given an analogous result in the affine case. Theorem 2. Let A be any indecomposable G.C.M. of affine type.