Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m

Dan Mao, Keli Zheng and Wenpeng Zhang

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: In this paper, a finite-dimensional Lie superalgebra Kn,m over a field of prime characteristic is constructed. Then, we study some properties of Kn,m. Moreover, we prove that Kn,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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7069556

DOI: 10.1155/2021/7069556

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