Work

Non-weight modules over gap-$p$ Virasoro algebras

Year: 2025

Type: preprint

Abstract: In this paper, we study non-weight modules over gap-$p$ Virasoro algebras, including Whittaker modules, $\mathcal{U}(\mathbb{C} L_0)$-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 $\mathcal{U}(\mathbb{C} L_0)$-free modules of rank 1 are classified and the irreducibility of such modules are determined. Moreover, the irreducibility of tensor products of $\mathcal{U}(\mathbb{C} L_0)$-free modules of rank 1 and irreducible restricted modules is also determined.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2505.15273

Authors: Xu, Chengkang, Chen, Fulin, Tan, Shaobin

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Awards: G1453420969, G1488689103, G7408858139, G8130433012, G8609886551

OpenAlex ID: W4415328647

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