辫子群的q-组合式

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.
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.