9 papers
Classification of finite-dimensional Nichols algebras of rank two in twisted Yetter--Drinfeld categories
Bowen Li
Let \(G\) be a finite non-abelian group, let \(Φ\in Z^3(G,\mathbb C^\times)\) be normalized, and let \(V,W\) be finite-dimensional simple objects of \({}_G^G\mathcal{YD}^Φ\). We cl…
Long Directed Cycles in Vertex-Transitive Digraphs
Bowen Li, Abhishek Methuku
The search for Hamiltonian cycles in vertex-transitive graphs and digraphs is a classical problem at the interface of graph theory and group theory. In the undirected setting, this…
On the Cartan Graphs of Nichols Algebras over Coquasi-Hopf Algebras
Bowen Li
Over an algebraically closed field of characteristic zero, let be a coquasi-Hopf algebra with bijective antipode, and let be a tuple of finite-dimensional simple Yetter--Dr…
Forbidding Exactly One Hamming Distance
József Balogh, Ce Chen, Bowen Li
Addressing questions raised in recent papers, we study the -distance graph on the Boolean cube , where two vertices are adjacent if their Hamming distance is…
Reflection Theory of Nichols Algebras over Coquasi-Hopf Algebras with Bijective Antipode
Bowen Li, Gongxiang Liu
We investigate the reflection theory of Nichols algebras over arbitrary coquasi-Hopf algebras with bijective antipode, generalizing previous results restricted to the pointed cosem…
Reflection of Nichols Algebras over Coquasi-Hopf Algebras
Bowen Li, Gongxiang Liu
This paper extends the foundational reflection theory of Nichols algebras to the setting of some certain coquasi-Hopf algebras. Our primary motivation arises from the classificatio…
Stability Theorems for Forbidden Configurations
Richard P. Anstee, Benjamin Kreiswirth, Bowen Li +2
Stability is a well investigated concept in extremal combinatorics. The main idea is that if some object is close in size to an extremal object, then it retains the structure of th…
Cohomology of Pointed Finite Tensor Categories
Bowen Li, Gongxiang Liu
We consider the finite generation property for cohomology algebra of pointed finite tensor categories via de-equivariantization and exact sequence of finite tensor categories. As a…
On Gauge Equivalence of Twisted Quantum Doubles
Bowen Li, Gongxiang Liu
We study the quantum double of a finite abelian group twisted by a -cocycle and give a sufficient condition when such a twisted quantum double will be gauge equivalent to a…