Parametric representations of BiHom-Hopf algebras

被引：0
|
作者：
Xiaohui Zhang
Wei Wang
Juzhen Chen
机构：
[1] Qufu Normal University,School of Mathematical Sciences
[2] Nanjing Research Institute of Electronic Engineering,College of Science
[3] Nanjing Forestry University,undefined
来源：
Czechoslovak Mathematical Journal | 2024年 / 74卷
关键词：
BiHom-Hopf algebra; BiHom-Yang-Baxter equation; -monoidal category; Drinfeld double; 16T99; 16T25; 16W10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The main purpose of the present paper is to study representations of BiHom-Hopf algebras. We first introduce the notion of BiHom-Hopf algebras, and then discuss BiHom-type modules, Yetter-Dinfeld modules and Drinfeld doubles with parameters. We get some new n-monoidal categories via the category of BiHom-(co)modules and the category of BiHom-Yetter-Drinfeld modules. Finally, we obtain a center construction type theorem on BiHom-Hopf algebras.
引用
收藏
页码：45 / 86
页数：41
相关论文
共 50 条
  • [1] Parametric representations of BiHom-Hopf algebras
    Zhang, Xiaohui
    Wang, Wei
    Chen, Juzhen
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2024, 74 (01) : 45 - 86
  • [2] TWISTED BIHOM-SMASH PRODUCTS AND L-R BIHOM-SMASH PRODUCTS FOR MONOIDAL BIHOM-HOPF ALGEBRAS
    Liu, Wei
    Fang, Xiaoli
    Torrecillas, Blas
    COLLOQUIUM MATHEMATICUM, 2020, 159 (02) : 171 - 193
  • [3] Radford双积monoidal BiHom-Hopf代数
    郑慧慧
    王永忠
    马天水
    河南师范大学学报(自然科学版), 2016, 44 (06) : 36 - 42
  • [4] Representations of Bihom-Lie Algebras
    Cheng, Yongsheng
    Qi, Huange
    ALGEBRA COLLOQUIUM, 2022, 29 (01) : 125 - 142
  • [5] Hopf algebras with trace and representations
    De Concini, C
    Procesi, C
    Reshetikhin, N
    Rosso, M
    INVENTIONES MATHEMATICAE, 2005, 161 (01) : 1 - 44
  • [6] Representations and corepresentations of Hopf algebras
    Cohen, M
    INTERACTIONS BETWEEN RING THEORY AND REPRESENTATIONS OF ALGEBRAS, 2000, 210 : 67 - 80
  • [7] Hopf algebras with trace and representations
    C. De Concini
    C. Procesi
    N. Reshetikhin
    M. Rosso
    Inventiones mathematicae, 2005, 161 : 1 - 44
  • [8] Partial representations of Hopf algebras
    Alves, Marcelo Muniz S.
    Batista, Eliezer
    Vercruysse, Joost
    JOURNAL OF ALGEBRA, 2015, 426 : 137 - 187
  • [9] Representations and T*-extensions of δ-Bihom-Jordan-Lie algebras
    Ben Hassine, Abdelkader
    Chen, Liangyun
    Li, Juan
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (02): : 648 - 675
  • [10] Categorical Hopf kernels and representations of semisimple Hopf algebras
    Burciu, Sebastian
    JOURNAL OF ALGEBRA, 2011, 337 (01) : 253 - 260
12345