Constructions and properties for a finite-dimensional modular Lie superalgebra \(K(n, m)\)
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.
scientific article; zbMATH DE number 7433557