Abstract
Let [Formula: see text] be a class of not-finitely graded Lie algebras related to generalized Virasoro algebras with basis [Formula: see text], which satisfies relations [Formula: see text] and [Formula: see text]. In this paper, [Formula: see text]-modules of the intermediate series satisfying some conditions are constructed and classified. We also obtain modules of the intermediate series over the related Lie superalgebra.
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