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

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  • Dan Mao
  • Keli Zheng
  • Wenpeng Zhang

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.

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  • Dan Mao & Keli Zheng & Wenpeng Zhang, 2021. "Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m," Journal of Mathematics, Hindawi, vol. 2021, pages 1-8, September.
    • Handle: RePEc:hin:jjmath:7069556
    DOI: 10.1155/2021/7069556
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