扭曲的自对偶Hopf代数  

Twisted Self-Dual Hopf Algebra

作　　者：姜秀燕[1] 贾玲[2] 

机构地区：[1]大庆师范学院数学系,大庆163712 [2]鲁东大学数学与信息学院,烟台264025

出　　处：《数学学报（中文版）》2008年第1期39-44,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(10571153)

摘　　要：从两种重要的结构crossed积代数和扭曲Smash余积余代数出发,构造了一类新的Hopf代数R(?)K#_σH,并讨论它成为自对偶Hopf代数的条件.The main purpose of this paper is to construct a new Hopf algebra denoted by R K#σH arising from two important structures, crossed product algebra structure and twisted Smalls coprodcuct structure, and discuss under what condition it will be a self-dual Hopf algebra. We recover the results of [7] by trivializing the right coaction.

关 键 词：HOPF代数 crossed积代数 扭曲Smash余积余代数 

分 类 号：O153.6[理学—数学]