74 citations · 328 across the 46 of their papers we have counts for
34 papers · 1 filter
Quotient Hopf algebras of the free bialgebra with PBW bases and GK-dimensions
Huan Jia, Naihong Hu, Rongchuan Xiong +1
Let be a field. We study the free bialgebra generated by the coalgebra and its quotient bialgebras (or Hopf algebras…
Quantum Supergroup , Scasimir Operators, and Dickson polynomials
Fu Liu, Naihong Hu, Naihuan Jing
We study the center of the two-parameter quantum supergroup using the Dickson polynomial. We show that the Scasimir operator is completely determined by the …
Classification of finite-dimensional Hopf algebras over dual Radford algebras
Rongchuan Xiong, Naihong Hu
We determine and classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose Hopf coradicals are isomorphic to dual Radford algebr…
On some classification of finite-dimensional Hopf algebras over the Hopf algebra of Kashina
Yiwei Zheng, Yun Gao, Naihong Hu +1
Let be the dual of -dimensional nontrivial semisimple Hopf algebra in the classification work of Kashina \cite{K00}. We completely determine all finite-dimensiona…
Drinfel'd doubles of the -rank Taft algebras and a generalization of the Jones polynomial
Ge Feng, Naihong Hu, Yunnan Li
In the paper, we describe the Drinfel'd double structure of the -rank Taft algebra and all of its simple modules, and then endow its -matrices with some application to knot i…
Simple modules over quantum torus and quantum group
L. Xia, N. Hu
In this paper, we classify all simple modules over the quantum torus and the quantum group for generic case.