D(kS_3)的不可约表示与Grothendieck群的环结构

Irreducible representations of D(kS_3) and ring structure of its Grothendieck group

研究了Hopf代数kS3的Drinfeld double D(kS3)的不可约表示与Grothendieck群G0(D(kS3))的环结构,其中k是特征为2的域,且含有一个3次本原单位根。

Let k be a field of characteristic 2 containing a 3-th primitive root of unity,and S3 be the symmetric group on 3 letters.The irreducible representations of the Drinfeld double D（kS3）of Hopf algebra kS3 is discussed.The ring structure of the Grothendieck group G0（D（kS3））are also given.