Twisted regular representations and bimodules in vertex operator algebra theory

In this paper, we use the twisted regular representation theory of vertex operator algebras to construct bimodules over twisted Zhu algebras, extending Haisheng Li's work in untwisted scenarios. Moreover, a conjecture of Dong and Jiang on bimodule theory is confirmed.

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Publication Details

Journal
Journal of Algebra
Published
2025-06-17
DOI
https://doi.org/10.1016/j.jalgebra.2025.05.026
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
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article

Twisted regular representations and bimodules in vertex operator algebra theory

Yiyi Zhu
Journal of Algebra
Algebraic structures and combinatorial models
article

Twisted regular representations and bimodules in vertex operator algebra theory

Yiyi Zhu
article en

Abstract

In this paper, we use the twisted regular representation theory of vertex operator algebras to construct bimodules over twisted Zhu algebras, extending Haisheng Li's work in untwisted scenarios. Moreover, a conjecture of Dong and Jiang on bimodule theory is confirmed.

Journal of AlgebraVol. 682
South China University of Technology (CN)
Openalex Percentile: Top 81%
Algebraic structures and combinatorial models
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Twisted regular representations and bimodules in vertex operator algebra theory — Yiyi Zhu · Journal of Algebra (2025) | TGRS Research Map | TGRS