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2013 Infinite-Dimensional Modular Lie Superalgebra Ω
Xiaoning Xu, Bing Mu
Abstr. Appl. Anal. 2013(SI06): 1-10 (2013). DOI: 10.1155/2013/923101


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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Xiaoning Xu. Bing Mu. "Infinite-Dimensional Modular Lie Superalgebra Ω ." Abstr. Appl. Anal. 2013 (SI06) 1 - 10, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095494
MathSciNet: MR3095358
Digital Object Identifier: 10.1155/2013/923101

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI06 • 2013
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