A note on anti-Yetter-Drinfeld modules

被引:0
|
作者
Staic, Mihai D. [1 ]
机构
[1] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA
来源
关键词
Hopf algebras; (anti-)Yetter Drinfeld modules;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that if a Hopf algebra H admits a modular pair in involution then the category of Yetter Drinfeld modules and the category of anti-Yetter-Drinfeld modules are isomorphic.
引用
收藏
页码:149 / 153
页数:5
相关论文
共 50 条
  • [41] Relative Yetter-Drinfeld modules and comodules over braided groups
    Zhu, Haixing
    JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (04)
  • [42] Yetter-Drinfeld π-modules over weak T-coalgebras
    Jia, Ling
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2012, 43 (03): : 375 - 396
  • [43] Functors for Long dimodules and Yetter-Drinfeld modules in a weak setting
    Alvarez, Jose Nicanor Alonso
    Rodriguez, Ramon Gonzalez
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023, 150 : 247 - 266
  • [44] Doi-Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras
    Bulacu, D.
    Caenepeel, S.
    Torrecillas, B.
    COMMUNICATIONS IN ALGEBRA, 2006, 34 (09) : 3413 - 3449
  • [45] 5 Yetter-Drinfeld modules and the quantum Yang-Baxter equation
    不详
    FROBENIUS AND SEPARABLE FUNCTORS FOR GENERALIZED MODULE CATEGORIES AND NONLINEAR EQUATIONS, 2002, 1787 : 217 - 243
  • [46] Yetter–Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories
    Jos Nicanor ALONSO LVAREZ
    Ramón GONZLEZ RODRIGUEZ
    Carlos SONEIRA CALVO
    Acta Mathematica Sinica(English Series), 2014, 30 (04) : 567 - 590
  • [47] Yetter-Drinfeld modules over bosonizations of dually paired Hopf algebras
    Heckenberger, I.
    Schneider, H. -J.
    ADVANCES IN MATHEMATICS, 2013, 244 : 354 - 394
  • [48] Quasi-elementary H-Azumaya Algebras Arising from Generalized (Anti) Yetter-Drinfeld Modules
    Panaite, Florin
    Van Oystaeyen, Freddy
    APPLIED CATEGORICAL STRUCTURES, 2011, 19 (05) : 803 - 820
  • [49] Quasi-elementary H-Azumaya Algebras Arising from Generalized (Anti) Yetter-Drinfeld Modules
    Florin Panaite
    Freddy Van Oystaeyen
    Applied Categorical Structures, 2011, 19 : 803 - 820
  • [50] Yetter–Drinfeld Modules over the Hopf–Ore Extension of the Group Algebra of Dihedral Group
    Hong ZHU
    Hui Xiang CHEN
    ActaMathematicaSinica, 2012, 28 (03) : 487 - 502