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This is a Quantitative Study study.

October 20, 2025Open Access

Non-weight modules over gap-p Virasoro algebras

Puntos clave

The study establishes conditions under which universal whittaker modules are irreducible, enhancing understanding of their structure.
Classification of $A0(3D L_0)$-free modules of rank 1 provides insights into their irreducibility and structure.
Tensor products involving $A0(3D L_0)$-free modules and irreducible restricted modules are analyzed for irreducibility.
Research findings indicate significant relationships in the structure of non-weight modules over gap-$p$ virasoro algebras.

Resumen

In this paper, we study non-weight modules over gap-p Virasoro algebras, including Whittaker modules, U (C L₀) -free modules and their tensor products. We establish necessary and sufficient conditions for universal Whittaker modules to be irreducible and study the structure of irreducible Whittaker modules. The U (C L₀) -free modules of rank 1 are classified and the irreducibility of such modules are determined. Moreover, the irreducibility of tensor products of U (C L₀) -free modules of rank 1 and irreducible restricted modules is also determined.

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Cite This Study

Xu et al. (Wed,) studied this question.

synapsesocial.com/papers/68f5c338e2d8b12842645a13 https://doi.org/https://doi.org/10.48550/arxiv.2505.15273

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