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20162026
most citedSome Hopf algebras of dimension without the Chevalley property

11 citations · 28 across the 12 of their papers we have counts for

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physics.geo-ph2026

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…

math.QA2026

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)…

math.QA2026

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 …

math.QA2026

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…

math.QA2026

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 ,…