摘要
文献[1]证明了:对于无扭仿型李代数g(A),任一个具有有限维权空间的、忠实的、不可约可积g(A)—模V是最高权模或是最低权模。[1]又指出:对于有扭仿型李代数也有类似的结果。本文不假设V的不可约性用统一的方法证明完全可约性。
About non-twisted affine Lie algebra,(1)had proved that with finite-dimensional weight spaces,faithfuly,irreducibily and integrable of g(A)-modules were the highest weight modules or the lowest weight modules,andin(1),about twisted affine Lie algebra had so.In this paper wedon＇t assumethe irreducibility and by the prove the complete reducibility the unity method.
出处
《哈尔滨师范大学自然科学学报》
CAS
1989年第2期1-4,共4页
Natural Science Journal of Harbin Normal University
