中文摘要：

用Grobner—Shirshov基和PBW代数方法来计算G2型量子群的Gelfand—Kirillov维数．得到的结论是G2型量子群的Gelfand-Kirillov维数为14．

英文摘要：

In this paper, we compute the Gelfand-kirillov dimension of the quantum group of type G2 by using the GrSbner-Shirshov basis and PBW algebra methool. The result is the Gelfand-kirillov dimension of quantized group of type G2 is 14.