4 citations · 10 across the 11 of their papers we have counts for
11 papers
On finite permutation groups of rank three
Hong Yi Huang, Cai Heng Li, Yan Zhou Zhu
The classification of the finite primitive permutation groups of rank was completed in the 1980s and this landmark achievement has found a wide range of applications. In the ge…
A survey on Zariski cancellation problems for noncommutative and Poisson algebras
Hongdi Huang, Xin Tang, Xingting Wang
In this article, we discuss some recent developments of the Zariski Cancellation Problem in the setting of noncommutative algebras and Poisson algebras.
Base sizes of primitive groups of diagonal type
Hong Yi Huang
Let be a permutation group on a finite set . The base size of is the minimal size of a subset of with trivial pointwise stabiliser in . In this paper, we extend e…
Symmetries of algebras captured by actions of weak Hopf algebras
Fabio Calderón, Hongdi Huang, Elizabeth Wicks +1
In this paper, we present a generalization of well-established results regarding symmetries of -algebras, where is a field. Traditionally, for a -algebra ,…
Twisting Manin's universal quantum groups and comodule algebras
Hongdi Huang, Van C. Nguyen, Charlotte Ure +3
We introduce the notion of quantum-symmetric equivalence of two connected graded algebras, based on Morita-Takeuchi equivalences of their universal quantum groups, in the sense of…
A cogroupoid associated to preregular forms
Hongdi Huang, Van C. Nguyen, Charlotte Ure +3
We construct a family of cogroupoids associated to preregular forms and recover the Morita-Takeuchi equivalence for Artin-Schelter regular algebras of dimension two, observed by Ra…
Twisting of graded quantum groups and solutions to the quantum Yang-Baxter equation
Hongdi Huang, Van C. Nguyen, Charlotte Ure +3
Let be a Hopf algebra that is -graded as an algebra. We provide sufficient conditions for a 2-cocycle twist of to be a Zhang twist of . In particular, we intr…
On Valency Problems of Saxl Graphs
Jiyong Chen, Hong Yi Huang
Let be a permutation group on a set and recall that a base for is a subset of such that its pointwise stabiliser is trivial. In a recent paper, Burness and Giudici…
Universal quantum semigroupoids
Hongdi Huang, Chelsea Walton, Elizabeth Wicks +1
We introduce the concept of a universal quantum linear semigroupoid (UQSGd), which is a weak bialgebra that coacts on a (not necessarily connected) graded algebra universally w…
Noncommutative analogues of a cancellation theorem of Abhyankar, Eakin, and Heinzer
Jason P. Bell, Maryam Hamidizadeh, Hongdi Huang +1
Let be a field and let be a finitely generated -algebra. The algebra is said to be cancellative if whenever is another -algebra with the property that $A[x]\c…
Hopf Ore Extensions
Hongdi Huang
Brown, O'Hagan, Zhang, and Zhuang gave a set of conditions on an automorphism and a -derivation of a Hopf -algebra for when the skew polynomial extension $T=R[x,…