有扭仿射李代数一类模的结构

THE STRUCTURE OF SOME MODULES FOR TWISTED AFFINE LIE ALGEBRAS

利用生成函数的方法证明g^[σ]-模范畴E中有限维不可约模为形如U1(z1)…Ur(zr)的赋值模.

Let g be a simple finite -dimensional Lie algebra, g^[ σ] be the corresponding twisted affine Lie algebra. In this paper, using generating functions we prove that any finite -dimensional irreducible g^[ σ] -module W in the category E is isomorphic to a g^[σ] - module U1 （z1） ×…×Ur（zr） for some finite - dimensional g - modules U1 ,…Ur and some distinct nonzero complex numbers z1…zr.