A_2型量子群′“非汉字符号”模Q的本原向量

Primitive vector of ′“非汉字符号”modules Q of quantum group for type A 2

令p是一个奇素数 ,v是一个不等于 1的p次单位根 ,B =Z[v],B′ =Q(v) .定义B′代数′ u是由生成元Ei,Fi(i=1,2 ,3) ,Kj(j=1,2 ) ,满足生成关系得到的A2 型量子群 .本文讨论了′ u模Q =Mh/P的本原向量 ,给出了Q的本原向量集合Q0 的一个直和分解 .

Let v be one primitive root of unity of degree p with p an odd prime. Denote Z by B, Q(v) by B′. A quantum group for type A 2 is defined as an B′-algebra ′, which is generated by E i,F i (i=1,2,3), K j(j=1,2) under some relations. In this paper, the primitive vector of ′ modules Q=M h/P of quantum group for type A 2 is given.