"Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra K n , m"

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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 .… Click to show full abstract

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.

Keywords: math; jats inline; lie superalgebra; inline formula

Journal Title: Journal of Mathematics
Year Published: 2021

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