|Table of Contents|

Construction of Hopf-Galois Algebra and Quasitriangular Hopf Algebra from Second-Order Circulant Matrix(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2023年03期
Page:
6-11
Research Field:
数学
Publishing date:

Info

Title:
Construction of Hopf-Galois Algebra and Quasitriangular Hopf Algebra from Second-Order Circulant Matrix
Author(s):
Li AnFang YunfeiChang ZhichengHuang XinqiZhang Liangyun
(College of Science,Nanjing Agricultural University,Nanjing 210095,China)
Keywords:
circulant matrix Hopf-Galois algebra Hopf algebra quasitriangular Hopf algebra
PACS:
O152.5
DOI:
10.3969/j.issn.1001-4616.2023.03.002
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.

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.

Memo

Memo:
-
Last Update: 2023-09-15