Infinite‐Dimensional Modular Lie Superalgebra Ω

Xiaoning Xu and Bing Mu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/923101

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:923101

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