Abstract In this paper, by using the Anick's resolution and Grobner-Shirshov basis for quantized enveloping algebra of type G2, we compute the minimal projective resolution of the trivial module of Uq+ (G2) and as...Abstract In this paper, by using the Anick's resolution and Grobner-Shirshov basis for quantized enveloping algebra of type G2, we compute the minimal projective resolution of the trivial module of Uq+ (G2) and as an application we compute the global dimension of Uq+(G2).展开更多
基金Supported by National Natural Science Puondation of China(Grant No.11361056)
文摘Abstract In this paper, by using the Anick's resolution and Grobner-Shirshov basis for quantized enveloping algebra of type G2, we compute the minimal projective resolution of the trivial module of Uq+ (G2) and as an application we compute the global dimension of Uq+(G2).