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Research Article | Open Access

Local superderivations of Lie superalgebra osp(1,2) to all simple modules

Shiqi Zhao1, Wende Liu1( ), Shujuan Wang2
School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China
School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China
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Abstract

In this paper, we consider the orthogonal symplectic Lie superalgebra osp(1,2) over an algebraically closed field of prime characteristic p>2. Using the classification of the simple modules of the Lie superalgebra osp(1,2), we prove that every local superderivation of osp(1,2) to any simple module is a superderivation.

Keywords

Lie superalgebrasorthogonal symplectic Lie superalgebrassimple modulessuperderivationslocal superderivations
CLC number: 17B05, 17B40

References

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 22655-22664
DOI: 10.3934/math.20241103

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Cite this article:
Zhao S, Liu W, Wang S. Local superderivations of Lie superalgebra osp(1,2) to all simple modules. AIMS Mathematics, 2024, 9(8): 22655-22664. https://doi.org/10.3934/math.20241103

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Received: 28 April 2024
Revised: 07 July 2024
Accepted: 16 July 2024
Published: 15 August 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)