4 papers
On strong identities of almost-canonically seminormed rings
Xu Gao, Jianqi Liu
We investigate the strong identity condition (SIC) for almost-canonically seminormed rings, a class of topological graded rings that includes enveloping algebras of vertex operator…
Rank-two parabolic-type VOAs and nilpotency of nil ideals
Jianqi Liu
In this paper, we undertake a systematic study of the parabolic-type sub-vertex operator algebras (subVOAs) \(V_P\) of rank-two lattice VOAs \(V_L\), originally introduced by the f…
Finite induction functor for vertex operator algebras
Jianqi Liu
In this paper, we introduce a new induction functor between module categories corresponding to an embedding of vertex operator algebras (VOAs) $U \hookrightarrow…
Borel-type subalgebras of the lattice vertex operator algebra
Jianqi Liu
In this paper, we introduce and study new classes of sub-vertex operator algebras of the lattice vertex operator algebras (VOAs), which we call the conic, Borel, and parabolic-type…