Xiaoning XU, Xiaojun Lİ

115114

Second Cohomology of the Modular Lie Superalgebra Ω

Second Cohomology of the Modular Lie Superalgebra Ω

We consider the finite-dimensional simple modular Lie superalgebra Ω which was defined by Zhang and Zhang (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 (Ω, Ω ∗ ), where Ω ∗ denotes the dual space of Ω.
Keywords:

Modular Lie superalgebra skew derivation, cohomology group,

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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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