Infinite-Dimensional Modular Lie Superalgebra

Xiaoning Xu and Bing Mu

Abstract and Applied Analysis, 2013, vol. 2013, 1-10

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:923101

DOI: 10.1155/2013/923101

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