Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras
Qiang Mu
Journal of Applied Mathematics · 2014
doi:10.1155/2014/601847 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY
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