Limits of Jordan Lie subalgebras

Abstract

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.

47 pages

References in corpus (1)

• Principal Nilpotent pairs in a semisimple Lie algebra, I

Cited by in corpus (1)

• Projective Linear Monoids and Hinges