May谱序列某些直和项

Direct sum summand of May spectral sequence

计算了Dykin图为A_n的李代数的正根系上同调的一些非零直和项.首先列出了R_6的全部权子复形,然后利用链同构关系的相关定理对权子复形进行了分类.最后通过对分类权子空间秩的计算,得出了R_6的模3系数的上同调的所有非零直和项.本文的研究结果补充了文献[4]的相关结论.

In this paper,we compute some non-zero direct sum summand of the cohomology of the positive system of the Lie algebra with Dynkin graph.First we list all of the weight subcomplexes of R6 are established,then theroems about chain isomorphism are used to classify this weight subcomplexes.Finally,through the calculation of the rank of the weight subcomplexes,all of the nonzero direct sum summand of the cohomology of R6 are obtained.The research results supplement the related results of the literature[4].