Derivations for even part of finite-dimensional modular Lie superalgebra \tilde{\mathrm{\Omega }}

Abstract

Y. Z. Zhang and Q. C. Zhang [J. Algebra, 2009, 321: 3601-3619] constructed a new family of finite-dimensional modular Lie superalgebra \tilde{\mathrm{\Omega }}. Let Ω denote the even part of the Lie superalgebra \tilde{\mathrm{\Omega }}.We first give the generator sets of the Lie algebra Ω. Then, we reduce the derivation of Ω to a certain form. With the reduced derivation and a torus of Ω, we determine the derivation algebra of Ω.

Key words： Modular Lie superalgebra; derivation algebra; torus

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