由内作用、内余作用构造的双交叉积  

The Bicrossed Products with Inner Action and Inner Coaction

作　　者：孙晓天[1] 

机构地区：[1]中央民族大学数学系

出　　处：《中央民族大学学报（自然科学版）》1997年第1期9-16,共8页Journal of Minzu University of China(Natural Sciences Edition)

摘　　要：本文通过双交叉积Ｈβ［φ］α［ｘ］Ａ的构造，给出双交叉积成为双Ｓｍａｓｈ积的条件．证明了ＨＢαＡ≌ＨＡ（作为Ｈｏｐｆ代数），并利用内作用、内余作用讨论了ｄｏｕｂｌｅＳｍａｓｈ积ＨβαＡ，其中包括了Ｄｒｉｎｆｅｌ′ｄ的著名例子Ｄ（Ｈ）．This paper discussed the foundation of bicrossed products with inner action and inner coaction, investigated the conditions of a bicrossed product being to a bismash product, and proved that bismash product is isomophic to Hopf algebra HA. Finally, the paper showed up the basic properties of double smash product with inner action and inner coaction too.

关 键 词：内作用 内余作用 双交叉积 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]