Hom-Hopf Algebras Arising From (Co)-Braided Hom-Hopf Algebras

被引:0
|
作者
Jia, Ling [1 ]
Chen, Xiaoyuan [2 ]
机构
[1] Ludong Univ, Dept Math & Stat, Yantai, Peoples R China
[2] Zhejiang Business Coll, Fac Humanities, Hangzhou, Zhejiang, Peoples R China
关键词
Hom-Hopf algebra; Hom-skew pairing; Hom-generalized Smash product;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Hom-structures (Lie algbras, bialgebras, Hopf modules) have been payed more and more attention recently. In this paper, we first introduce the notions of Hom-skew pairings, Hom-comodule coalgebras and Hom-module coalgebras. Then we give the examples arising from (co)braided Hom-Hopf algebras. Next we give the sufficient and necessary conditions for it to be a Hom-Hopf agebra and discuss the dual case.
引用
收藏
页码:511 / 527
页数:17
相关论文
共 50 条
  • [1] Hom-Hopf group coalgebras and braided T-categories obtained from Hom-Hopf algebras
    You, Miman
    Zhou, Nan
    Wang, Shuanhong
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (11)
  • [2] MONOIDAL HOM-HOPF ALGEBRAS
    Caenepeel, S.
    Goyvaerts, I.
    [J]. COMMUNICATIONS IN ALGEBRA, 2011, 39 (06) : 2216 - 2240
  • [3] QUASITRIANGULAR HOM-HOPF ALGEBRAS
    Chen, Yuanyuan
    Wang, Zhongwei
    Zhang, Liangyun
    [J]. COLLOQUIUM MATHEMATICUM, 2014, 137 (01) : 67 - 88
  • [4] Weak Hom-Hopf algebras and their (co)representations
    Zhang, Xiaohui
    Wang, Shuanhong
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2015, 94 : 50 - 71
  • [5] Crossed Products of Hom-Hopf Algebras
    Lu, Daowei
    Li, Yizheng
    Guo, Shuangjian
    [J]. FILOMAT, 2020, 34 (04) : 1295 - 1313
  • [6] Cocycle deformations for Hom-Hopf algebras
    Alonso Alvarez, J. N.
    Fernandez Vilaboa, J. M.
    Gonzalez Rodriguez, R.
    [J]. JOURNAL OF ALGEBRA, 2022, 601 : 354 - 389
  • [7] Drinfeld Codoubles of Hom-Hopf Algebras
    Zhang, Xiaohui
    Guo, Shuangjian
    Wang, Shengxiang
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2019, 29 (02)
  • [8] Weak Hom-bialgebras and weak Hom-Hopf algebras
    Chebel, Zoheir
    Makhlouf, Abdenacer
    [J]. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2018, 61 (01): : 23 - 38
  • [9] HOPF-GALOIS EXTENSIONS FOR MONOIDAL HOM-HOPF ALGEBRAS
    Chen, Yuanyuan
    Zhang, Liangyun
    [J]. COLLOQUIUM MATHEMATICUM, 2016, 143 (01) : 127 - 147
  • [10] Integrals for monoidal Hom-Hopf algebras and their applications
    Chen, Yuanyuan
    Wang, Zhongwei
    Zhang, Liangyun
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (07)