双扭HOPF代数的对偶  

DUALITY OF BITWISTED HOPF ALGEBRAS

作　　者：肖艳艳[1,2] 唐晓丽[2] 孙建华[2] 

机构地区：[1]南京师范大学泰州学院,江苏泰州225300 [2]扬州大学数学科学学院,江苏扬州225002

出　　处：《数学杂志》2009年第2期179-185,共7页Journal of Mathematics

基　　金：国家自然科学基金资助项目(10471121);扬州大学自然科学基金资助项目(FK0313085)

摘　　要：本文研究了一个双扭Hopf代数的分次对偶空间以及两个双扭Hopf代数的分次对偶关系.利用代数和余代数分次对偶空间的性质,得出一个局部有限的双扭(χ1,χ2)-Hopf代数的分次对偶空间是一个双扭(χ1T,χ2)-Hopf代数,并判定两个双扭Hopf代数的分次对偶可以简化为判定它们作为双扭双代数是分次对偶的.The aim of this paper is to discuss the gradedly dual space of a bitwisted Hopf algebra, and the gradedly duality relationship between two bitwisted Hopf algebras. By using the properties of the dual space of a graded algebra and coalgebra, we prove that the gradedly dual space of a local finite （Х1 , Х2 ）- bitwisted Hopf algebra is a （X1^T ,Х2 ）-bitwisted Hopf algebra, and then we point out that when we want to prove two bitwisted Hopf algebras to be graded dual as Hopf algebras, we only have to prove that they are graded dual as bitwisted bialgebras.

关 键 词：双扭双代数 双扭Hopf代数 分次对偶 

分 类 号：O153.3[理学—数学]