【摘要】 设 ( A,H ,σ)是斜配对的 ,文章首先构造了双交叉积 A#σH ,特别地 ,Drinfel′d偶 D( H )就是这种双交叉积 ,即 D( H ) =H* cop#σH ,其中σ为赋值映射 .其次 ,若一般双交叉积 Aα#βH有辫子结构σ,则存在σ使得( A,H ,σ)是斜配对的 ,且 Aα#βH =A#αH .最后证明了 ,当 ( A,σA)、( H ,σH)是辫子双代数时 ,则构造了一个σ,使得 ( A#αH,σ)也是辫子双代数更多还原

【Abstract】 Let (A,H,σ) be skew paired ,the article first constructs a bicrossed product A # αH ,especially the Drinfel′d quantum double D(H)=H *cop # σH ,where σ is the evaluation map.If the bicrossed product A α # βH has braided structure ,it is proved that there is an σ which makes (A,H,σ) skew paired and \{ A σ # βH\}=A # αH .Finally,if (A,H,σ ) is skew paired,it is proved that A and H admit braided structures if and only if A # αH admits a braided structure.更多还原