双交叉积A# _σH及其辫化结构  

Bicrossed product A# _αH and its braided structure

作　　者：马正义[1] 

机构地区：[1]丽水师范专科学校数学系,浙江丽水323000

出　　处：《浙江师大学报（自然科学版）》2000年第1期4-8,共5页Journal of Zhejiang Normal University(Natoral Sciences)

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)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.

关 键 词：斜配对 双交叉积 辫子双代数 量子偶 Holf代数 

分 类 号：O153.3[理学—数学]