11 citations · 28 across the 12 of their papers we have counts for
4 papers · 2 filters
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 ,…