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…