3 papers
math.QA2017
On nondiagonal finite quasi-qantum groups over finite abelian groups
Hua-Lin Huang, Yuping Yang, Yinhuo Zhang
In this paper, we initiate the study of nondiagonal finite quasi-quantum groups over finite abelian groups. We mainly study the Nichols algebras in the twisted Yetter-Drinfeld modu…
math.QA2017
Finite-dimensional quasi-Hopf algebras of Cartan type
Yuping Yang, Yinhuo Zhang
In this paper, we present a general method for constructing finite-dimensional quasi-Hopf algebras from finite abelian groups and braided vector spaces of Cartan type. The study of…
math.QA2015
The octonions form an Azumaya algebra in certain braided linear Gr-categories
T. Cheng, H. Huang, Y. Yang +1
By applying the idea of viewing the octonions as an associative algebra in certain tensor categories, or more precisely as a twisted group algebra by a 2-cochain, we show that the…