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arXiv · 2506.10830

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra

Shun Liu·Dashu Xu
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Abstract

We study representations of a deformed Heisenberg-Virasoro algebra that does not admit a triangular decomposition. Despite this, its $\mathbb{Z}$-gradation allows the classification of simple restricted modules. We show that all such modules of non-zero level arise via induction from simple modules of finite-dimensional solvable Lie algebras.

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Shun Liu, Dashu Xu. 2025-06-12. Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra. https://arxiv.org/abs/2506.10830

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