有限域上Cartan型李代数表示的一点注记(英文)

Note on representations of Cartan type Lie algebras over a finite field

得到了当特征函数χ的高度小于或等于0时,Cartan型李代数在代数封闭域k=F_q上的不可约广义χ-约化表示分裂的一个充分必要条件.在Witt代数情形,对于一般的特征函数χ,得到了相应的结论.

A sufficient and necessary condition was obtained for an irreducible generalizedχ-reduced module of a Cartan type Lie algebra over k = F_q being split over F_q,where the height of the characterχis no more than 0.For the Witt algebra,the corresponding result for generalχwas given.