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arxiv: 2505.16464 · v1 · pith:DMRTUB76new · submitted 2025-05-22 · 🧮 math.QA

Twisted regular representations and bimodules in vertex operator algebra theory

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keywords theorytwistedalgebrasbimodulesoperatorregularvertexalgebra
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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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