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Some modules over Lie algebras related to the Virasoro algebra. (English) Zbl 1464.17029

In this paper, the author studied the restricted modules over a class of \(\frac{1}{2}{\mathbb Z}\)-graded Lie algebras \({\mathfrak g}\) related to the Virasoro algebra. A classification of irreducible such modules was given under some conditions. Several equivalent characterizations of these irreducible modules were also provided. Using these modules, the authors obtained the classification of certain irreducible modules over vertex algebras associated to \({\mathfrak g}\).

MSC:

17B69 Vertex operators; vertex operator algebras and related structures
17B68 Virasoro and related algebras
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References:

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