Hom-T-smash积Hom-Hopf代数上的拟三角结构

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英文篇名：The Quasitriangular Structure for Hom-T-smash Product Hom-Hopf Algebras 作者：焦争鸣 ; 郭敏 ; 夏正亮 英文作者：JIAO Zhengming;GUO Min;XIA Zhengliang;College of Mathematics and Information Science,Henan Normal University; 关键词：Hom-Hopf代数 ; 拟三角结构 ; Hom-T-smash积 英文关键词：Hom-Hopf algebra;;quasitriangular structure;;Hom-T-smash product 中文刊名：HNSX 英文刊名：Journal of Henan Normal University(Natural Science Edition) 机构：河南师范大学数学与信息科学学院; 出版日期：2015-01-29 08:56 出版单位：河南师范大学学报(自然科学版) 年：2015 期：v.43;No.180 基金：河南省基础与前沿技术研究计划项目(132300410052);; 河南省教育厅基础研究项目(2009A110009) 语种：中文; 页：HNSX201501001 页数：7 CN：01 ISSN：41-1109/N 分类号：7-13

摘要

主要研究Hom-T-smash积Hom-Hopf代数(B■TH,αBαH)上的拟三角结构,给出了Hom-Tsmash积Hom-Hopf代数构成拟三角Hom-Hopf代数的充要条件.
        In this paper,the quasitriangular structures for Hom-T-smash product Hom-Hopf algebras are discussed,and necessary andsufficient conditions for Hom-T-smash product Hom-Hopf algebras to bequasitriangular Hom-Hopf algebras are given.

引文

[1]Drinfeld V G.Quantum groups[C].Proc of ICM,Berkeley,1987.
    [2]Larson R,Towber J.Two dual classes of bialgebras related to the concepts of“quantum groups”and“quantum Lie algebras”[J].Comm Algebra,1991(19):3295-3345.
    [3]Jiao Z,Wisbauer R.The braided structures forω-smash coproduct Hopf algebras[J].J Algebra,2005(287):474-495.
    [4]Jiao Z.The quasitriangular structures for a class of T-smash product Hopf algebras[J].Israel J of Mathematics,2005,146(1):125-147.
    [5]Makhlouf A,Silvestrov S.Hom-algebras structures[J].J Gen Lie theory Appl,2008,2(2):51-64.
    [6]Makhlouf A,Silvestrov S.Hom-algebras and Hom-coalgebras[J].J Algebra Appl,2010,9(4):553-589.
    [7]Makhlouf A,Silvestrov S.Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras[M].Berlin:Springer Verlag,2009.
    [8]Caenepeel S,Goyvaerts I.Monoidal Hom-Hopf Algebras[J].Communications in Algebra,2011,39(6):2216-2240.
    [9]Yau D.Hom-bialgebras and comodule Hom-algebras[J].Int Electron J Algebra,2010,8:45-64.
    [10]Yau D.Hom-quantum groups:I.Quasi-triangular Hom-bialgebras[J].J Phys A:Math Theor,2012,45(6):065203.
    [11]Ma T S,Li H Y,Yang T.Cobraided smash product Hom-Hopf algebras[J].Colloq Math,2014,134:75-92.
    [12]郑乃峰.Hom-ω-smash余积Hopf代数上的辫化结构[J].数学物理学报,2013,33(6):1068-1088.
    [13]Sweedler M E.Hopf Algebras[M].New York:Benjamin,1969.
    [14]王忠伟,陈园园,张良云.Hom-Hopf代数的对极和Drinfel'd偶[J].中国科学:数学,2013,42(11):1079-1093.