设k是特征为2的代数闭域,Dn是阶为2n的二面体群且n为奇数.通过Dn的共轭类代表元的中心化子子群上的模构造Yetter—Drinfeld kD。模,从而给出量子偶D(kDn)的全部不可分解表示.
Let k be an algebraically closed field of characteristic 2 and D. be a dihedral group with oraer 2n such that n is odd. By constructing Yetter-Drinfeld kDo modules from modules over the centralizer subgroups of representatives of conjugate classes of Dn, this paper gives out all indecomposable representations of the quantum double D(kD.) of Dn.