Graded elementary quasi-Hopf algebras of tame representation type

• DOI: 10.1007/s11856-015-1214-4
• Publication Date: 2015-10-30T15:44:15Z
• Authors: Hua-Lin Huang; Gongxiang Liu; Yu Ye
• Keywords: Representation; Elementary proof

The class of graded elementary quasi-Hopf algebras of tame type is classified. Combining with our previous work [19], this completes the trichotomy for such class of algebras according to their representation types. In addition, new examples of genuine elementary quasi-Hopf algebras, and accordingly finite pointed tensor categories, are provided.<br/>20 pages<br/>