In chapter 2,the classification of the Z-graded modules of the intermediate series over L_q has been solved,and some propersities of these modules are given; in chapter 3,we determine all the anti-linear anti-involutions over the Lie algebra L_q.
在第二章,我们完全解决了L_q上Z-阶化中间序列模的分类问题,并对这类模的性质进行了研究;在第三章,我们确定了李代数L_q上所有的反线性反对合变换,并讨论了L_q上Z-阶化中间序列模的酉性及厄密特型和相应的反线性反对合映射。