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Theory Article | Open Access

Derivations of finite-dimensional modular Lie superalgebras K ¯ ( n , m )

Dan Mao1,2, Keli Zheng1( )
Department of Mathematics, School of Science, Northeast Forestry University, Harbin 150040, China
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
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Abstract

This paper is aimed at determining the derivation superalgebra of modular Lie superalgebra K ¯ ( n , m ). To that end, we first describe the Z -homogeneous derivations of K ¯ ( n , m ). Then we obtain the derivation superalgebra D e r ( K ¯ ). Finally, we partly determine the derivation superalgebra D e r ( K ) by virtue of the invariance of K ( n , m ) under D e r ( K ¯ ).

Keywords

Lie superalgebramodular Lie superalgebraderivation superalgebraassociative superalgebracontact type

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Electronic Research Archive
Volume 31 Issue 7,
July 2023
Pages 4266-4277
DOI: 10.3934/era.2023217

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Cite this article:
Mao D, Zheng K. Derivations of finite-dimensional modular Lie superalgebras K ¯ ( n , m ). Electronic Research Archive, 2023, 31(7): 4266-4277. https://doi.org/10.3934/era.2023217

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Received: 28 February 2023
Revised: 08 May 2023
Accepted: 22 May 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

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