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20142026
most citedOn modules for meromorphic open-string vertex algebras

8 citations · 23 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.QA2026

Meromorphic open-string vertex algebras and twisted modules from Courant algebroids

Qixuan Fang, Fei Qi

We construct a sheaf of -graded meromorphic open-string vertex algebras from a transitive Courant algebroid equipped with a generalized metric and a chos…

math.QA2026

Boson-fermion meromorphic open-string vertex algebras and their canonically twisted modules

Qixuan Fang, Yi-Zhi Huang, Fei Qi

We construct a -graded meromorphic open-string vertex algebra from a finite-dimensional vector space with a nondegenerate symmetric bilinear form, together wi…

math.QA2021★ 1 cited

First cohomologies of affine, Virasoro and lattice vertex operator algebras

Fei Qi

In this paper we study the first cohomologies for the following three examples of vertex operator algebras: (i) the simple affine VOA associated to a simple Lie algebra with positi…

math.QA2020★ 6 cited

Meromorphic open-string vertex algebras and modules over two-dimensional orientable space forms

Fei Qi

We study the meromorphic open-string vertex algebras and their modules over the two-dimensional Riemannian manifolds that are complete, connected, orientable, and of constant secti…

math.QA2018★ 2 cited

On the cohomology of meromorphic open-string vertex algebras

Fei Qi

This paper generalizes Huang's cohomology theory of grading-restricted vertex algebras to meromorphic open-string vertex algebras (MOSVAs hereafter), which are noncommutative gener…

math.QA2018★ 1 cited

The first cohomology, derivations and the reductivity of a (meromorphic open-string) vertex algebra

Yi-Zhi Huang, Fei Qi

We give a criterion for the complete reducibility of modules satisfying a composability condition for a meromorphic open-string vertex algebra using the first cohomology of the…

math.QA2018★ 8 cited

On modules for meromorphic open-string vertex algebras

Fei Qi

We study representations of the meromorphic open-string vertex algebra (MOSVAs hereafter) defined in [H3], a noncommutative generalization of vertex (operator) algebra. We start by…