Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras

The natural filtration of the infinite-dimensional contact superalgebra over an algebraic closed field of positive characteristic is proved to be invariant under automorphisms by characterizing ad-nilpotent elements and the subalgebras generated by certain ad-nilpotent elements. Moreover, we obtain...

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Bibliographic Details
Published in:Journal of Applied Mathematics 2014-01, Vol.2014 (2014), p.682-690-570
Main Author: Mu, Qiang
Format: Article
Language:English
Subjects:
Algebra
Analysis
Automorphisms
Contact
Filtration
Invariants
Lie algebras
Mathematical analysis
Mathematical problems
Modular
Power plants
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Summary:The natural filtration of the infinite-dimensional contact superalgebra over an algebraic closed field of positive characteristic is proved to be invariant under automorphisms by characterizing ad-nilpotent elements and the subalgebras generated by certain ad-nilpotent elements. Moreover, we obtain an intrinsic characterization of contact superalgebras and a property of automorphisms of these Lie superalgebras.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/601847