<i>A<sub>n</sub></i>型非标准量子群的弱Hopf代数结构

A_n型非标准量子群的弱Hopf代数结构

摘要: 首先给出A_n型非标准量子群X_q（A_n）的定义，通过替换X_q（A_n）的类群元，得到弱Hopf代数\mathfrakmX_q（A_n），然后探讨\mathfrakmX_q（A_n）的结构并给出其Ext箭图.

Abstract: Firstly, a non-standard quantum group X_q(A_n) was introduced, and then by replacing the group of grouplike elements of X_q(A_n), a weak Hopf algebra \mathfrakmX_q(A_n) was obtained. Moreover, the structure of \mathfrakmX_q(A_n) was discussed and the Ext quivers of \mathfrakmX_q(A_n) was given.