Quotients of finite Quasi-Hopf algebras

被引：0
|
作者：
Schauenburg, P [1 ]
机构：
[1] Univ Munich, Inst Math, D-80333 Munich, Germany
来源：
HOPF ALGEBRAS IN NONCOMMUTATIVE GEOMETRY AND PHYSICS | 2005年 / 239卷
关键词：
Quasi-Hopf algebra; Nichols-Zoeller theorem; Hopf module; THEOREM;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let H be a finite-dimensional quasi-Hopf algebra. We show for each quotient quasibialgebra Q of H that Q is a quasi-Hopf algebra whose dimension divides the dimension of H.
引用
收藏
页码：281 / 290
页数：10
相关论文
共 50 条
  • [21] STRUCTURE OF QUASI-TRIANGULAR QUASI-HOPF ALGEBRAS
    DRINFELD, VG
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1992, 26 (01) : 63 - 65
  • [22] On sovereign, balanced and ribbon quasi-Hopf algebras
    Bulacu, Daniel
    Torrecillas, Blas
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (03) : 1064 - 1091
  • [23] The quantum double for quasitriangular quasi-Hopf algebras
    Bulacu, D
    Caenepeel, S
    COMMUNICATIONS IN ALGEBRA, 2003, 31 (03) : 1403 - 1425
  • [24] Quantum homogeneous spaces and quasi-Hopf algebras
    Enriquez, B
    Kosmann-Schwarzbach, Y
    CONFERENCE MOSHE FLATO 1999, VOL II: QUANTIZATION, DEFORMATIONS, AND SYMMETRIES, 2000, 22 : 105 - 121
  • [25] A structure theorem for quasi-Hopf comodule algebras
    Panaite, Florin
    Van Oystaeyen, Freddy
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (06) : 1669 - 1677
  • [26] Categorical aspects of cointegrals on quasi-Hopf algebras
    Shibata, Taiki
    Shimizu, Kenichi
    JOURNAL OF ALGEBRA, 2020, 564 : 353 - 411
  • [27] Monadic cointegrals and applications to quasi-Hopf algebras
    Berger, Johannes
    Gainutdinov, Azat M.
    Runkel, Ingo
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 225 (10)
  • [28] STRUCTURE THEOREMS FOR BICOMODULE ALGEBRAS OVER QUASI-HOPF ALGEBRAS, WEAK HOPF ALGEBRAS, AND BRAIDED HOPF ALGEBRAS
    Dello, Jeroen
    Panaite, Florin
    Van Oystaeyen, Freddy
    Zhang, Yinhuo
    COMMUNICATIONS IN ALGEBRA, 2016, 44 (11) : 4609 - 4636
  • [29] Quasi-Hopf algebras and the centre of a tensor category
    Panaite, F
    Van Oystaeyen, F
    HOPF ALGEBRAS AND QUANTUM GROUPS, PROCEEDINGS, 2000, 209 : 221 - 235
  • [30] Modular quasi-Hopf algebras and groups with one involution
    Mason, Geoffrey
    Ng, Siu-Hung
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2023, 227 (05)
12345