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Infinite-Dimensional Modular Lie Superalgebra Ω
oleh: Xiaoning Xu, Bing Mu
Format: | Article |
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Diterbitkan: | Wiley 2013-01-01 |
Deskripsi
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.