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arXiv · 2512.07254

Non-weight modules over generalized Heisenberg-Virasoro algebra of rank two

Yi Wen·Naihuan Jing·Jiancai Sun·Honglian Zhang
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Abstract

In this paper, we study a class of non-weight modules over the generalized Heisenberg-Virasoro algebra of rank two $\widetilde{L}(p_1, p_2)$. We construct a family of irreducible $\widetilde{L}(p_1, p_2)$-modules, determine the isomorphism classes and show that these modules exhaust all the $\widetilde{L}(p_1, p_2)$-modules that are free modules of rank one over the Cartan subalgebra.

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Yi Wen, Naihuan Jing, Jiancai Sun, Honglian Zhang. 2025-12-08. Non-weight modules over generalized Heisenberg-Virasoro algebra of rank two. https://doi.org/10.1063/5.0281897

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