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- W4254562686 abstract "Abstract Let (g, [−, −], ω) be a finite-dimensional complex ω-Lie superalgebra. In this paper, we introduce the notions of derivation superalgebra Der(g) and the automorphism group Aut(g) of (g, [−, −], ω). We study Derω (g) and Autω (g), which are superalgebra of Der(g) and subgroup of Aut(g), respectively. For any 3-dimensional or 4-dimensional complex ω-Lie superalgebra g, we explicitly calculate Der(g) and Aut(g), and obtain Jordan standard forms of elements in the two sets. We also study representation theory of ω-Lie superalgebras and give a conclusion that all nontrivial non-ω-Lie 3-dimensional and 4-dimensional ω-Lie superalgebras are multiplicative, as well as we show that any irreducible respresentation of the 4-dimensional ω-Lie superalgebra P2,k(k 6= 0, −1) is 1-dimensional." @default.
- W4254562686 created "2022-05-12" @default.
- W4254562686 creator A5041609313 @default.
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- W4254562686 date "2021-05-25" @default.
- W4254562686 modified "2023-10-17" @default.
- W4254562686 title "On Low-Dimensional Complex ω-Lie Superalgebras" @default.
- W4254562686 doi "https://doi.org/10.21203/rs.3.rs-554746/v1" @default.
- W4254562686 hasPublicationYear "2021" @default.
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