Derivations for even part of finite-dimensional modular Lie superalgebra $\tilde \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 \(\tilde \Omega \). Let Ω denote the even part of the Lie superalgebra \(\tilde \Omega \).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.