A filtration associated to an abelian inner ideal of a Lie algebra
Let B be an abelian inner ideal and let KerL B be the kernel of B. In this paper we show that when there exists n ∈ N with [B,KerL B] n ⊂ B, the inner ideal B induces a bounded filtration in L where B is the first nonzero submodule of the filtration and where the wings of the Lie algebra associated to the filtration coincide with the subquotient determined by B. This filtration extends the principal filtration induced by ad-nilpotent elements of index less than or equal to three defined in
We would like to thank the referee for his/her careful reading of the paper and his/her useful comments and remarks.
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