Abstract
ABSTRACTIn this paper, using Larsson’s functor with irreducible 𝔰𝔩2-modules V, we construct a class of ℤ2-graded modules for the Virasoro-like algebra and its q-analogs. We determine the irreducibility of these modules for finite-dimensional or infinite-dimensional V using a unified method. In particular, these modules provide new irreducible weight modules with infinite-dimensional weight spaces for the corresponding algebras.
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