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Infinite‐Dimensional Modular Lie Superalgebra Ω

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  • Xiaoning Xu
  • Bing Mu

Abstract

All ad‐nilpotent elements of the infinite‐dimensional Lie superalgebra Ω over a field of positive characteristic are determined. The natural filtration of the Lie superalgebra Ω 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 Ω are intrinsic. Therefore, we classify the infinite‐dimensional modular Lie superalgebra Ω in the sense of isomorphism.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:923101
DOI: 10.1155/2013/923101
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