Some authors classified order two and order three automorphisms of affine Lie algebras. In this letter, we classify order m inner automorphisms of the first kind of affine Lie algebras for an arbitrary positiv in- teger m. Let g be a simple non-twisted affine Lie algebra and g be its associated simple finite-dimensional Simple Lie algebra, Ⅱ={α_0,α_1,...,α_n}and Ⅱ={α_1, ...,α_n}(resp. h and h)be the simple roots Set(resp. Cartan subalgebra)of g and g respectively. Let a_0, a_1, ..., a_n e the labels of the vertices In the Dynkin diagram of g(cf. ref.[3]).
展开▼
