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- W4310267066 abstract "In this paper, we study the tensor module P ⊗ M over the Witt superalgebra W + (resp. Wm,n), where P is a simple module over the Weyl superalgebra K + (resp. Km,n) and M is a simple weight module over the general linear Lie superalgebra $$mathfrak{g}mathfrak{l}left( {m,n} right)$$ . We obtain the necessary and sufficient conditions for P ⊗ M to be simple, and determine all the simple subquotients of P ⊗ M when it is not simple. All the work leads to the completion of some classification problems on the weight representation theories of W + and Wm,n." @default.
- W4310267066 created "2022-11-30" @default.
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- W4310267066 date "2022-11-24" @default.
- W4310267066 modified "2023-09-25" @default.
- W4310267066 title "Tensor modules over Witt superalgebras" @default.
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- W4310267066 doi "https://doi.org/10.1007/s11425-021-2004-5" @default.
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