关于一般q-李代数的普遍包络代数U(L^q)的研究

Research on the Universal Enveloping Algebra U ( L^q ) of the General q-Lie Algebra

利用张量代数与一般q-李代数思想,研究了一般q-李代数的普遍包络代数U（Lq）,以及它的泛性质,并且通过有序齐次基的引入,最终找到了U（Lq）的一组基。

By the idea of tensor algebra and general q-Lie algebra,the universal enveloping algebra of the general q-Lie algebra and its universal property were studied.And through the introduction of order homogeneous base,a group of base for was found.