期刊
JOURNAL OF PURE AND APPLIED ALGEBRA
卷 228, 期 4, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.jpaa.2023.107512
关键词
Sup er-Virasoro algebra; Weyl algebra; Irreducible module
In this paper, a new family of functors from the module category of the Weyl algebra to the module category of the super-Virasoro algebras is introduced. The properties of these functors, including irreducibility preservation and natural isomorphisms, are investigated. Using these functors, old irreducible super-Virasoro modules, including those from the irreducible intermediate series and irreducible U(h)-free modules, are recovered. Additionally, several families of new irreducible super-Virasoro modules are provided via the constructed functors.
In this paper, we introduce a new family of functors from the category of modules for the Weyl algebra to the category of modules for the super-Virasoro algebras. The properties of these functors are investigated, with an emphasis on irreducibility preservation and natural isomorphisms. By utilizing these functors, we recover some old irreducible super-Virasoro modules, including those from the irreducible intermediate series as well as irreducible U(h)-free modules. Additionally, we provide several families of new irreducible super-Virasoro modules via our constructed functors.(c) 2023 Elsevier B.V. All rights reserved.
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