The Even Part Of Modular Lie Superalgebra Ω And Γ

Two classes of fnite-dimensional new simple modular Lie superalgebras of Ω-typeand Γ-type were constructed and their derivation superalgebras were investigated inreferences[35,36]. In this thesis, we continue to study the constitutive properties of modu-lar Lie superalgebras of Ω-type and Γ-type. We discuss the generating sets of the evenpart of modular Lie superalgebras of Ω-type and Γ-type. Furthermore, we determine thederivations with negative Z-degrees of the even parts into the odd parts by means ofacting derivations on their generating sets of the even parts of modular Lie superalgebrasof Ω-type and Γ-type.