32 citations · 73 across the 34 of their papers we have counts for
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The Finite Duals of Affine Prime Regular Hopf Algebras of GK-Dimension One
Kangqiao Li, Gongxiang Liu
This paper is an attempt to construct a special kind of Hopf pairing . Specifically, and should be both affine…
Quasitriangular structures on the 8-dimensional Kac algebra K_8
Kun Zhou, Gongxiang Liu
In this note, we give a list of all non-isomorphic quasitriangular structures on the 8-dimension Kac algebra K_8.
On the Antipode of Hopf Algebras with the Dual Chevalley Property
Kangqiao Li, Gongxiang Liu
In this paper, we study the antipode of a finite-dimensional Hopf algebra with the dual Chevalley property and obtain an annihilation polynomial for its antipode . The annih…
Classification of affine prime regular Hopf algebras of GK-dimension one
Jinyong Wu, Gongxiang Liu, Nanqing Ding
The classification of affine prime regular Hopf algebras of GK-dimension one is completed. As consequences, 1) we give a negative answer to an open question posed by Brown-Zhang an…
Commutative Hopf structures over a loop
Hua-Lin Huang, Gongxiang Liu, Yu Ye
Let be an algebraically closed field of characteristic . For a loop , denote its path coalgebra by . In this paper, all the finite-dim…