Second Cohomology of the Modular Lie Superalgebra Ω

Authors : Xiaoning XU, Xiaojun Lİ

Pages : 787-799

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Publication Date : 2014-10-01

Article Type : Research Paper

Abstract :We consider the finite-dimensional simple modular Lie superalgebra Ω which was defined by Zhang and Zhang insert ignore into journalissuearticles values(2009);, over an algebraically closed fields of characteristic p > 3. In this paper, we determine the second cohomology group of the modular Lie superalgebra Ω by computing the first cohomology group H1 insert ignore into journalissuearticles values(Ω, Ω ∗ );, where Ω ∗ denotes the dual space of Ω.
Keywords : Modular Lie superalgebra, skew derivation, cohomology group