摘要
为了计算出B_3型量子群的Gr?bner-Shirshov基,先用有限维代数表示论中的Auslander-Reiten理论和Hall代数方法计算出B_3型量子代数根向量之间的拟交换关系式并验证这些关系式对合成运算封闭,然后给出B_3型量子群的一个极小Gr?bner-Shirshov基.
In order to calculate Grobner-Shishov basis of quantum group B3, firstly Auslander-Reiten theory and Hall algebraic method in finite dimension algebraic expression are used to calculate skew-commutators between algebraic root vectors of quantum group of B3, and their composition operation closure of these commutators is tested, then the minimal Grobner-Shirshov basis of the quantum group B3 is given.
出处
《重庆工商大学学报（自然科学版）》
2017年第2期22-25,30,共5页
Journal of Chongqing Technology and Business University:Natural Science Edition
基金
新疆维吾尔自治区大学生创新创业训练计划项目(201610758186)
