%0 Journal Article
%T 辫子群的q-组合式
%A 胡红梅
%J 华东师范大学学报(自然科学版)
%D 2016
%R 10.3969/j.issn.1000-5641.2016.01.002
%X 摘要 从标准R-矩阵和适当选取的相互对偶的辫子群出发,作者在[1]中利用双重玻色化定理刻画了ABCD型量子包络代数U_q(mathfrakg)的递归构造.本文详细刻画在这些递归构造中,辫子群的生成元在更高一秩的新量子群中的表达式,它们是关于单根向量的q-组合式形式.</br>Abstract：With the standard R-matrices and suitably chosen a pair of dual braided groups, the authors gave the rank-inductive constructions of U_q}(\mathfrakg}}) for the ABCD series via the double-bosonization theory in [1]. This paper described explicitly the expressions for the generators of braided groups in the new higher rank-one quantum groups in these constructions, which are the q-commutators with the simple root vectors. These q-commutators are very important to the structure of new quantum groups.
%K R-矩阵
%K 递归构造
%K q-组合式
%K 辫子群
%K FRT-型生成元&lt
%K /br&gt
%K Key words： R-matrix rank-inductive construction q-commutator braided group FRT-generator
%U http://xblk.ecnu.edu.cn/CN/abstract/abstract25259.shtml