Two characterizations of finite quasi-Hopf algebras

被引：15

作者：

Schauenburg, P ^{[1
]}

机构：

[1] Univ Munich, Inst Math, D-80333 Munich, Germany

来源：

JOURNAL OF ALGEBRA | 2004年 / 273卷 / 02期

关键词：

quasi-Hopf algebra;

D O I：

10.1016/S0021-8693(03)00335-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a finite-dimensional quasibialgebra. We show that H is a quasi-Hopf algebra if and only if the monoidal category of its finite-dimensional left modules is rigid, if and only if a structure theorem for Hopf modules over H holds. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：538 / 550

页数：13

共 50 条

[41] A Categorical Approach to Cyclic Cohomology of Quasi-Hopf Algebras and Hopf Algebroids
Kobyzev, Ivan
Shapiro, Ilya
APPLIED CATEGORICAL STRUCTURES, 2019, 27 (01) : 85 - 109
[42] On the Frobenius-Schur indicators for quasi-Hopf algebras
Schauenburg, P
JOURNAL OF ALGEBRA, 2004, 282 (01) : 129 - 139
[43] Yetter-Drinfeld categories for quasi-Hopf algebras
Bulacu, D
Caenepeel, S
Panaite, F
COMMUNICATIONS IN ALGEBRA, 2006, 34 (01) : 1 - 35
[44] Quasi-Hopf algebras and representations of octonions and other quasialgebras
Panaite, F
Van Oystaeyen, F
JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (10) : 3912 - 3929
[45] Integrals for (dual) quasi-Hopf algebras. Applications
Bulacu, D
Caenepeel, S
JOURNAL OF ALGEBRA, 2003, 266 (02) : 552 - 583
[46] Quasi-Hopf algebras associated with semisimple Lie algebras and complex curves
B. Enriquez
Selecta Mathematica, 2003, 9 (1) : 1 - 61
[47] HOM-TENSOR RELATIONS FOR TWO-SIDED HOPF MODULES OVER QUASI-HOPF ALGEBRAS
Bagheri, Saeid
Wisbauer, Robert
COMMUNICATIONS IN ALGEBRA, 2012, 40 (09) : 3257 - 3287
[48] Graded elementary quasi-Hopf algebras of tame representation type
Huang, Hua-Lin
Liu, Gongxiang
Ye, Yu
ISRAEL JOURNAL OF MATHEMATICS, 2015, 209 (01) : 157 - 186
[49] Two-sided two-cosided Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras
Bulacu, Daniel
Torrecillas, Blas
APPLIED CATEGORICAL STRUCTURES, 2006, 14 (5-6) : 503 - 530
[50] On quasi-Hopf superalgebras
Gould, MD
Zhang, YZ
Isaac, PS
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 224 (02) : 341 - 372

← 1 2 3 4 5 →