摘要
§0 引言 A=(α_(ij))是n阶广义Cantan矩阵,即A满足:ⅰ)α_(ii)=2,i=1,…n。ⅱ)当i≠j时,α_(ij)是非正整数。ⅲ) a_(ij)=0 α_(ji)=0。 h是复数域C上2n-l维向量空间,h是h的对偶空间。Π={α_1,…α_n},Π分别是h与h中线性无关子集。
Let A be a symmetrizable generalized Cartan matrix, g( A) the Kac-Moody algebra associated with A, h a Cartan subalgebra of g( A). In this paper, we discuss certain groups of automorphisms of g( A) . Especially, when A is of affine type, the group of automorphisms which left h invariant is completely determined.
