[1]周璇,杨涛,陈菊珍.群余分次代数量子群变形的对偶[J].南京师范大学学报(自然科学版),2012,35(03):6-10.
 Zhou Xuan,Yang Tao,Chen Juzhen.Duality of Deformation of a Group-Cograded Algebraic Quantum Group[J].Journal of Nanjing Normal University(Natural Science Edition),2012,35(03):6-10.
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群余分次代数量子群变形的对偶()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第35卷
期数:
2012年03期
页码:
6-10
栏目:
数学
出版日期:
2012-09-20

文章信息/Info

Title:
Duality of Deformation of a Group-Cograded Algebraic Quantum Group
作者:
周璇1杨涛2陈菊珍3
( 1. 江苏教育学院数学与信息技术学院,江苏南京210013) ( 2. 南京农业大学数学系,江苏南京210095) ( 3. 南京林业大学理学院,江苏南京210037)
Author(s):
Zhou Xuan1Yang Tao2Chen Juzhen3
1.School of Mathematics and Information Technology,Jiangsu Institute of Education,Nanjing 210013,China
关键词:
乘子Hopf 代数群余分次对偶代数量子群
Keywords:
multiplier Hopf algebra group-cogradedduality algebraic quantum group
分类号:
O152
摘要:
设G是群,G-余分次代数量子群是带有积分的正则的G-余分次乘子Hopf代数.本文主要讨论了G-余分次代数量子群的变形的对偶,这个对偶是满足一定条件的代数量子群.若对此对偶再做一次镜面反射,便可得到一个G-分次的代数量子群.
Abstract:
Let G be a group,a G-cograded algebraic quantum group is a regular G-cograded multiplier Hopf algebra with integrals. In this paper,we mainly consider the duality of the deformation of a G-cograded algebraic quantum group, and obtain the duality is an algebraic quantum group satisfying some certain conditions. Furthermore,using the mirror reflection on this duality,we get a G-graded algebraic quantum group.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10871042) 、江苏省高校自然科学基金( 12KJD110003、11KJB110004) .通讯联系人: 杨涛,博士,讲师,研究方向: Hopf 代数. E-mail: tao.yang@ njau.edu. cn
更新日期/Last Update: 2013-03-11