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Natural Filtrations of Infinite‐Dimensional Modular Contact Superalgebras

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  • Qiang Mu

Abstract

The natural filtration of the infinite‐dimensional contact superalgebra over an algebraic closed field of positive characteristic is proved to be invariant under automorphisms by characterizing ad‐nilpotent elements and the subalgebras generated by certain ad‐nilpotent elements. Moreover, we obtain an intrinsic characterization of contact superalgebras and a property of automorphisms of these Lie superalgebras.

Suggested Citation

  • Qiang Mu, 2014. "Natural Filtrations of Infinite‐Dimensional Modular Contact Superalgebras," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:601847
    DOI: 10.1155/2014/601847
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    References listed on IDEAS

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    1. Keli Zheng & Yongzheng Zhang, 2013. "The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Keli Zheng & Yongzheng Zhang, 2013. "The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, August.
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