[1]李 安,方云霏,常志诚,等.由二阶循环矩阵构造Hopf-Galois代数与拟三角Hopf代数[J].南京师大学报(自然科学版),2023,46(03):6-11.[doi:10.3969/j.issn.1001-4616.2023.03.002]
　Li An,Fang Yunfei,Chang Zhicheng,et al.Construction of Hopf-Galois Algebra and Quasitriangular Hopf Algebra from Second-Order Circulant Matrix[J].Journal of Nanjing Normal University(Natural Science Edition),2023,46(03):6-11.[doi:10.3969/j.issn.1001-4616.2023.03.002]
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由二阶循环矩阵构造Hopf-Galois代数与拟三角Hopf代数()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第46卷
期数:
2023年03期
页码:
6-11
栏目:
数学
出版日期:
2023-09-15

文章信息/Info

Title:
Construction of Hopf-Galois Algebra and Quasitriangular Hopf Algebra from Second-Order Circulant Matrix
文章编号:
1001-4616(2023)03-0006-06
作者:
李 安; 方云霏; 常志诚; 黄芯琪; 张良云
(南京农业大学理学院,江苏 南京 210095)
Author(s):
Li An; Fang Yunfei; Chang Zhicheng; Huang Xinqi; Zhang Liangyun
(College of Science,Nanjing Agricultural University,Nanjing 210095,China)
关键词:
循环矩阵; Hopf-Galois代数; Hopf代数; 拟三角Hopf代数
Keywords:
circulant matrix;  Hopf-Galois algebra;  Hopf algebra;  quasitriangular Hopf algebra
分类号:
O152.5
DOI:
10.3969/j.issn.1001-4616.2023.03.002
文献标志码:
A
摘要:
本文分别由二阶循环矩阵构造了Hopf-Galois代数与Hopf代数,最后,由二阶循环矩阵构造拟三角Hopf代数.
Abstract:
In this paper,we construct Hopf-Galois algebra and Hopf algebra respectively from second-order circulant matrix. Finally we construct quasitriangular Hopf algebra from second-order circulant matrix.

参考文献/References:

[1]DAVIS P J. Circulant Matrices[M]. New York:Chelsea,1994.
[2]GRUNSPAN C. Quantum torsors[J]. Journal of pure and applied algebra,2003,184:229-255.
[3]BICHON J,IGLESIAS A G. Hopf-Galois structures on ambiskew polynomial rings[J]. Journal of noncommutative geometry,2021,15:1 409-1431.
[4]乔宁,房莹,张良云. Sweedler四维Hopf代数上的Poisson代数结构[J]. 山东大学学报(理学版),2020,55(12):56-62,68.
[5]DRINFEL'D V G. Quantum groups[J]. Journal of soviet mathematics,1988,41:898-915.
[6]ZHENG H H,ZHANG L Y. Hopf-Galois algebras and their Poisson structures[J]. Communications in algebra,2022,50(7):3046-3063.
[7]RADFORD D E. Hopf algebras[M]. Singapore:World Scientific,2012.
[8]CHEN Y Y,WANG Z W,ZHANG L Y. FS-coalgebras and crossed coproducts[J]. Georgian mathematical journal,2019,26(3):381-392.

备注/Memo

备注/Memo:
收稿日期:2023-02-21.
基金项目:中华农业科教基金会项目(NKJ202102009)、国家大学生实践创新训练计划资助项目(202210307032Z).
通讯作者:张良云,教授,博士生导师,研究方向:代数学. E-mail:zlyun@njau.edu.cn
更新日期/Last Update: 2023-09-15