Anti-Yetter-Drinfeld Modules for Quasi-Hopf Algebras

被引：2

作者：

Kobyzev, Ivan ^{[1
]}

Shapiro, Ilya ^{[2
]}

机构：

[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada

[2] Univ Windsor, Dept Math & Stat, 401 Sunset Ave, Windsor, ON N9B 3P4, Canada

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2018年 / 14卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

monoidal category; cyclic homology; Hopf algebras; quasi-Hopf algebras; CYCLIC COHOMOLOGY; CATEGORIES; HOMOLOGY; THEOREM;

D O I：

10.3842/SIGMA.2018.098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply categorical machinery to the problem of defining anti-Yetter-Drinfeld modules for quasi-Hopf algebras. While a definition of Yetter-Drinfeld modules in this setting, extracted from their categorical interpretation as the center of the monoidal category of modules has been given, none was available for the anti-Yetter-Drinfeld modules that serve as coefficients for a Hopf cyclic type cohomology theory for quasi-Hopf algebras. This is a followup paper to the authors' previous effort that addressed the somewhat different case of anti-Yetter-Drinfeld contramodule coefficients in this and in the Hopf algebroid setting.

引用

页数：10

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