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Infinite-Dimensional Modular Lie Superalgebra

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  • Xiaoning Xu
  • Bing Mu

Abstract

All ad-nilpotent elements of the infinite-dimensional Lie superalgebra over a field of positive characteristic are determined. The natural filtration of the Lie superalgebra is proved to be invariant under automorphisms by characterizing ad-nilpotent elements. Then an intrinsic property is obtained by the invariance of the filtration; that is, the integers in the definition of are intrinsic. Therefore, we classify the infinite-dimensional modular Lie superalgebra in the sense of isomorphism.

Suggested Citation

  • Xiaoning Xu & Bing Mu, 2013. "Infinite-Dimensional Modular Lie Superalgebra," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, September.
    • Handle: RePEc:hin:jnlaaa:923101
    DOI: 10.1155/2013/923101
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