C_3型量子包络代数的Grbner-Shirshov基

Grbner-Shirshov Basis of Quantum Group of Type C_3

在这篇文章中,我们用有限维代数的表示理论中的Auslander-Reiten理论和Ringel-Hall代数方法证明C3型量子包络代数的所有根向量之间的拟交换关系构成它的一个极小Grbner-Shirshov基.

In this paper we prove,by using the Auslander-Reiten theory in representation theory of finite dimensional algebra and the Ringel-Hall algebra approach,that the set of all skew-commutator relations between the root vectors of quantized enveloping algebra of type C3 is a minimal Grobner-Shirshov basis.