Graded elementary quasi-Hopf algebras of tame representation type

被引:0
|
作者
Hua-Lin Huang
Gongxiang Liu
Yu Ye
机构
[1] Shandong University,School of Mathematics
[2] Nanjing University,Department of Mathematics
[3] University of Science and Technology of China,School of Mathematics
来源
Israel Journal of Mathematics | 2015年 / 209卷
关键词
Abelian Group; Hopf Algebra; Representation Type; Standard Generator; Monoidal Category;
D O I
暂无
中图分类号
学科分类号
摘要
The class of graded elementary quasi-Hopf algebras of tame type is classified. Together with our previous work [19], this completes the trichotomy for such a class of algebras according to their representation types. In addition, new examples of genuine elementary quasi-Hopf algebras, and accordingly finite pointed tensor categories, are provided.
引用
收藏
页码:157 / 186
页数:29
相关论文
共 50 条
  • [21] Mixable shuffles, quasi-shuffles and Hopf algebras
    Kurusch Ebrahimi-Fard
    Li Guo
    Journal of Algebraic Combinatorics, 2006, 24 : 83 - 101
  • [22] Representations and categorical realization of Hom-quasi-Hopf algebras
    Yongsheng Cheng
    Xiufu Zhang
    Frontiers of Mathematics in China, 2015, 10 : 1263 - 1281
  • [23] Representations and categorical realization of Hom-quasi-Hopf algebras
    Cheng, Yongsheng
    Zhang, Xiufu
    FRONTIERS OF MATHEMATICS IN CHINA, 2015, 10 (06) : 1263 - 1281
  • [24] A Maschke Type Theorem for Weak Hopf Algebras
    Alonso Alvarez, J. N.
    Fernandez Vilaboa, J. M.
    Gonzalez Rodriguez, R.
    Rodriguez Raposo, A. B.
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (12) : 2065 - 2080
  • [25] Ore Extensions of Automorphism Type for Hopf Algebras
    Yang, Shilin
    Zhang, Yongfeng
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2020, 46 (02) : 487 - 501
  • [26] Maschke Type Theorems for Nonassociative Hopf Algebras
    Alonso Alvarez, J. N.
    Soneira Calvo, C.
    COMMUNICATIONS IN ALGEBRA, 2016, 44 (09) : 3727 - 3742
  • [27] A Maschke Type Theorem for Weak Hopf Algebras
    J.N.ALONSOLVAREZ
    J.M.FERNNDEZVILABOA
    R.GONZLEZRODRíGUEZ
    A.B.RODRíGUEZRAPOSO
    ActaMathematicaSinica(EnglishSeries), 2008, 24 (12) : 2065 - 2080
  • [28] Pointed Hopf algebras of discrete corepresentation type
    Iovanov, Miodrag Cristian
    Sen, Emre
    Sistko, Alexander
    Zhu, Shijie
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2024, 228 (04)
  • [29] Ore Extensions of Automorphism Type for Hopf Algebras
    Shilin Yang
    Yongfeng Zhang
    Bulletin of the Iranian Mathematical Society, 2020, 46 : 487 - 501
  • [30] A maschke type theorem for weak Hopf algebras
    J. N. Alonso Álvarez
    J. M. Fernández Vilaboa
    R. González Rodríguez
    A. B. Rodríguez Raposo
    Acta Mathematica Sinica, English Series, 2008, 24 : 2065 - 2080