Analysis defines irreducible modules in generalized Heisenberg-Virasoro algebra, suggesting comprehensive classification of ranks.
In this paper, we study a class of non-weight modules over the generalized Heisenberg-Virasoro algebra of rank two L̃(p1,p2). We construct a family of irreducible L̃(p1,p2)-modules, determine the isomorphism classes and show that these modules exhaust all the L̃(p1,p2)-modules that are free modules of rank one over the Cartan subalgebra.
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Wen et al. (2025) studied this question.
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