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：
HOPF ALGEBRAS AND GENERALIZATIONS | 2007年 / 441卷
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 16 条
  • [1] Anti-Yetter-Drinfeld Modules for Quasi-Hopf Algebras
    Kobyzev, Ivan
    Shapiro, Ilya
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2018, 14
  • [2] On the anti-Yetter-Drinfeld module-contramodule correspondence
    Shapiro, Ilya
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2019, 13 (02) : 473 - 497
  • [3] Mixed vs Stable Anti-Yetter-Drinfeld Contramodules
    Shapiro, Ilya
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2021, 17
  • [4] Characterization of quasi-Yetter-Drinfeld modules
    Zhu, Haixing
    Liu, Guohua
    Yang, Tao
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (03)
  • [5] Endomorphism algebras over weak (α, β)-Yetter-Drinfeld modules
    Liu, Ling
    Shen, Bingliang
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (07)
  • [6] Projective class rings of a kind of category of Yetter-Drinfeld modules
    Guo, Yaguo
    Yang, Shilin
    AIMS MATHEMATICS, 2023, 8 (05): : 10997 - 11014
  • [7] Yetter-Drinfeld π-modules over weak T-coalgebras
    Jia, Ling
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2012, 43 (03): : 375 - 396
  • [8] 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
  • [9] Yetter-Drinfeld modules over bosonizations of dually paired Hopf algebras
    Heckenberger, I.
    Schneider, H. -J.
    ADVANCES IN MATHEMATICS, 2013, 244 : 354 - 394
  • [10] A CONSTRUCTION OF THE HOM-YETTER-DRINFELD CATEGORY
    Li, Haiying
    Ma, Tianshui
    COLLOQUIUM MATHEMATICUM, 2014, 137 (01) : 43 - 65
12