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- W4384207925 abstract "In this paper, we study Z-graded vertex superalgebras over a general field of an odd prime characteristic. In particular, we study affine vertex superalgebras Vgˆ(ℓ,0) and a family of quotient vertex superalgebras Vgˆχ(ℓ,0) with g assumed to be a restricted Lie superalgebra. Among the main results, we obtain a necessary and sufficient condition for a gˆ-module of level ℓ to be a Vgˆχ(ℓ,0)-module. Furthermore, we study the special case with g=g1¯ and introduce a quotient vertex superalgebra Lgˆ(ℓ,0) of Vgˆ(ℓ,0). As the main results, we prove that for ℓ≠0, vertex superalgebra Lgˆ(ℓ,0) is simple, the adjoint module is the only irreducible N-graded module up to equivalence, and every Lgˆ(ℓ,0)-module is isomorphic to the direct sum of some copies of Lgˆ(ℓ,0)." @default.
- W4384207925 created "2023-07-14" @default.
- W4384207925 creator A5035142233 @default.
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- W4384207925 date "2023-11-01" @default.
- W4384207925 modified "2023-09-26" @default.
- W4384207925 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.svg><mml:mi mathvariant=double-struck>N</mml:mi></mml:math>-graded modules for <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si103.svg><mml:mi mathvariant=double-struck>Z</mml:mi></mml:math>-graded modular vertex superalgebras" @default.
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- W4384207925 doi "https://doi.org/10.1016/j.jalgebra.2023.06.031" @default.
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