sl(3,κ)正则幂零表示投射模的Lowey序列

The Lowey Series of Regular Nilpotent Representations for sl(3,k)

基域k是特征为5的代数闭域,李代数g=sl(3,k).当p-特征函数χ为正则幂零且具有标准Levi型时,本文得到了g的主不可分解模的Lowey序列及其单模自扩张的维数.

Let k be an algebraically closed field of prime characteristic p = 5,Lie algebra g=s1(3,k).In this paper,when p-character x is regular nilpotent and has standard Levi form,the Lowey series of principle indecomposable g-modules and the dimensions for the self-extension of irreducible g-modules were given.