Article ID Journal Published Year Pages File Type
4596878 Journal of Pure and Applied Algebra 2010 13 Pages PDF
Abstract

The infinite-dimensional special odd contact Lie superalgebras SKO(n,n+1;c) over a field of positive characteristic are studied. In particular, we prove that Lie superalgebras SKO(n,n+1;c) are simple. Besides, the Weisfeiler filtration of SKO(n,n+1;c) is proved to be invariant under automorphisms by characterizing -nilpotent elements. Thereby, we obtain some properties of these Lie superalgebras.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory