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20132024
most citedGeneralized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories

6 citations · 9 across the 11 of their papers we have counts for

collaborators

12 papers

math.QA2024

On the Classification of Finite Quasi-Quantum Groups over Abelian Groups

Hua-Lin Huang, Gongxiang Liu, Yuping Yang +1

Using a variety of methods developed in the theory of finite-dimensional quasi-Hopf algebras, we classify all finite-dimensional coradically graded pointed coquasi-Hopf algebras ov…

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.QA2016

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…

math.RT2015

The diagram category of framed tangles and invariants of quantized symplectic group

Zhankui Xiao, Yuping Yang, Yinhuo Zhang

In this paper we present a categorical version of the first and second fundamental theorems of the invariant theory for the quantized symplectic groups. Our methods depend on the t…

math.QA2015★ 6 cited

Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories

Tao Cheng, Hua-Lin Huang, Yuping Yang

By viewing Clifford algebras as algebras in some suitable symmetric Gr-categories, Albuquerque and Majid were able to give a new derivation of some well known results about Cliffor…