小q-Schur代数u_(k)(3,3)的中心  

The center of little q-Schur algebra u_(k)(3,3)

作　　者：杨倩 刘明强 YANG Qian;LIU Mingqiang(Three Gorges Mathematical Research Center,China Three Gorges University,Yichang,Hubei 443002,China)

机构地区：[1]三峡大学三峡数学研究中心,湖北宜昌443002

出　　处：《内江师范学院学报》2024年第2期31-36,共6页Journal of Neijiang Normal University

基　　金：国家自然科学基金项目(11801312);宜昌市自然科学研究项目(A23-2-026)。

摘　　要：代数的中心在代数的结构和性质方面起着关键作用.小q-Schur代数u_(k)(3,3)的中心对于计算小q-Schur代数u_(k)(3,r)的中心有一定帮助.利用小q-Schur代数u_(k)(3,3)的基来表示其中心元素,从中心元素与其他元素相乘可交换的性质出发,根据q-Schur代数正规基间的乘法公式,得到了三次单位根下小q-Schur代数u_(k)(3,3)的中心的维数和中心的一组基.The center of algebras plays a key role in the structure and properties of algebras.The center of little q-Schur algebra u_(k)(3,3)is helpful to calculate the center of little q-Schur algebras u_(k)(3,r).The base of little q-Schur algebra u_(k)(3,3)is used to represent the central elements.Starting from the property that the central elements can be exchanged with other elements when multiplied,the dimension of the center for little q-Schur algebra u_(k)(3,3)under the unit root of degree 3 is calculated and a base for the center of u_(k)(3,3)is obtained,according to the multiplication formulas between the normal base of the q-Schur algebras.

关 键 词：小q-Schur代数 中心 生成元 

分 类 号：O152.5[理学—数学]