32 citations · 121 across the 36 of their papers we have counts for
8 papers · 1 filter
Finite quasi-quantum groups of diagonal type
Hua-Lin Huang, Gongxiang Liu, Yuping Yang +1
The goal of the present paper is to classify an interesting class of elementary quasi-Hopf algebras, or equivalently, finite-dimensional pointed Majid algebras. By a Tannaka-Krein…
Finite quasi-quantum groups of rank two
Hua-Lin Huang, Gongxiang Liu, Yuping Yang +1
This is a contribution to the structure theory of finite pointed quasi-quantum groups. We classify all finite-dimensional connected graded pointed Majid algebras of rank two which…
Graded elementary quasi-Hopf algebras of tame representation type
Hua-Lin Huang, Gongxiang Liu, Yu Ye
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 accor…
The braided monoidal structures on a class of linear Gr-categories
Hua-Lin Huang, Gongxiang Liu, Yu Ye
A linear Gr-category is a category of finite-dimensional vector spaces graded by a finite group together with natural tensor product. We classify the braided monoidal structures of…
Hopf Structures on Minimal Hopf Quivers
Hua-Lin Huang, Yu Ye, Qing Zhao
In this paper we investigate pointed Hopf algebras via quiver methods. We classify all possible Hopf structures arising from minimal Hopf quivers, namely basic cycles and the linea…
Quivers, Quasi-Quantum Groups and Finite Tensor Categories
Hua-Lin Huang, Gongxiang Liu, Yu Ye
We study finite quasi-quantum groups in their quiver setting developed recently by the first author in arXiv:0902.1620 and arXiv:0903.1472. We obtain a classification of finite-dim…