仿射型李代数■(A)模的容许格和稳定子的结构

STRUCTURE OF ADMISSIBLE LATTICE ANDSTABILIZER OF MODULE OF AFFINE LIE ALGEBRA ■(A)

本文构造了仿射型李代数 ^g(A)的Chevalley基和Chevalley代数 ,并且给出了其普遍包络代数U( ^g(A) )的“Z -形式” .对 ^g(A)的可积最高权模构造了容许格及稳定子 ,并研究了它们的结构性质 .

The main purpose of this paper is to construct the Chevalley basis and the Chevalley algebra of the Affine Lie algebra (A) and to define the 'Z-form' of the universal enveloping algebra of the (A). Thus, we can make up of the 'missible lattice' and the stabilizer over the integrable highest weight module of the (A) and the stabilizer over the integrable highest weight module of the (A) and study the character of their structures.