Constructions and properties for a finite-dimensional modular Lie superalgebra \(K(n, m)\) (Q2052106)
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scientific article; zbMATH DE number 7433557
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructions and properties for a finite-dimensional modular Lie superalgebra \(K(n, m)\) |
scientific article; zbMATH DE number 7433557 |
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Constructions and properties for a finite-dimensional modular Lie superalgebra \(K(n, m)\) (English)
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25 November 2021
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Summary: In this paper, a finite-dimensional Lie superalgebra \(K(n, m)\) over a field of prime characteristic is constructed. Then, we study some properties of \(K(n, m)\). Moreover, we prove that \(K(n, m)\) is an extension of a simple Lie superalgebra, and if \(m=n-1\), then it is isomorphic to a subalgebra of a restricted Lie superalgebra.
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