摘要
本文旨在计算B_3-型量子群的Gelfand-Kirillov维数,所用方法是:首先利用RingelHall代数方法计算B_3-型量子群的所有根向量之间的拟交换公式,然后利用相应的B_3-型量子群的Grobner-Shirshov基计算B_3-型量子群的Gelfand-Kirillov维数,得到的主要结果是B_3-型量子群的Gelfand-Kirillov维数等于21.
The aim of this paper is to compute the Gelfand-Kirillov dimension of quantum group of type B3. Firstly, we compute all skew-commutator relations between all root vectors of quantum group of type B3by using the Ringel-Hall algebra approach. Then,by using the corresponding Groebner-Shirshov basis, we compute the Gelfand-Kirillov dimension of quantum group of type B3. The main result is that the Gelfand-Kiriliov dimension of quantum group of type B3 is 21.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2017年第2期253-260,共8页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金(11361056)
