11 citations · 28 across the 12 of their papers we have counts for
14 papers
DiffSpecMatch: Differentiable Waveform Inverse Design with Configurable Optimization Modules for Response-Spectrum Matching of Ground Motions
Xiaohu Hu, Su Chen, Zhijun Dai +3
Response-spectrum matching is an underdetermined waveform inverse problem in which spectral compatibility must be achieved without uncontrolled changes in other engineering-relevan…
A -Weyl Freeness Principle for Nichols Algebras and Pointed Hopf Algebras of Square-Free Dimension
Rongchuan Xiong
Let be a pointed Hopf algebra of square-free dimension over an algebraically closed field of characteristic . We prove that either is a group algebra or $\dim H/|\G(H)…
Normalized quadratic extensions of pointed Hopf algebras
Rongchuan Xiong
Let be a finite-dimensional pointed Hopf algebra over an algebraically closed field. We establish an intrinsic characterization of index-two extensions: every Hopf algebra …
Exact Factorizations of Rank-One Pointed Hopf Algebras in Positive Characteristic, I
Rongchuan Xiong
We classify exact factorizations of the third-type rank-one pointed Hopf algebras over an algebraically closed field of positive characteristic. The main step is a complete classif…
Bicrossed products of generalized Taft algebras and Radford algebras
Rongchuan Xiong
Over an algebraically closed field of characteristic , we classify all matched pairs between a generalized Taft algebra and the Radford algebra . If ,…
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…
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 non-connected pointed Hopf algebras of dimension 16 in characteristic 2
Rongchuan Xiong
Let be an algebraically closed field. We give a complete classification of non-connected pointed Hopf algebras of dimension with char that are gen…
On Hopf algebras over basic Hopf algebras of dimension 24
Rongchuan Xiong
We determine finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero, whose Hopf coradical is isomorphic to a non-pointed basic Hopf algebra of d…
Finite-dimensional Hopf algebras over the smallest non-pointed basic Hopf algebra
Rongchuan Xiong
We classify finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose Hopf coradcial is isomorphic to the smallest non-pointed basic Hopf alg…
On Hopf algebras over the unique -dimensional Hopf algebra without the dual Chevalley property
Rongchuan Xiong
Let $\mathds{k}$ be an algebraically closed field of characteristic zero. We determine all finite-dimensional Hopf algebras over $\mathds{k}$ whose Hopf coradical is isomorphic to…
Pointed Hopf algebras of dimension in characteristic
Rongchuan Xiong
Let $\mathds{k}$ be an algebraically closed field of characteristic . We give the complete classification of pointed Hopf algebras over $\mathds{k}$ of dimension for a pr…
Cocycle deformations and Galois objects of semisimple Hopf algebras of dimension
Rongchuan Xiong, Zhiqiang Yu
In this article, we determine cocycle deformations and Galois objects of non-commutative and non-cocommutative semisimple Hopf algebras of dimension . We show that these Hopf a…
Some Hopf algebras of dimension without the Chevalley property
Naihong Hu, Rongchuan Xiong
In this paper, we consider the Drinfeld double $\D$ of a -dimensional Hopf algebra $\C$ over an algebraically closed field of characteristic zero whose coradical is not a subal…