%0 Journal Article
%T Limits of Jordan Lie subalgebras
%A Mutsumi Saito
%J Mathematics
%D 2015
%I arXiv
%X Let g be a simple Lie algebra of rank n over C. We show that the n-dimensional abelian ideals of a Borel subalgebra of g are limits of Jordan Lie subalgebras. Combining this with a classical result by Kostant, we show that the g-module spanned by all n-dimensional abelian Lie subalgebras of g is actually spanned by the Jordan Lie subalgebras.
%U http://arxiv.org/abs/1508.04508v1