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arXiv · 1508.04508

Limits of Jordan Lie subalgebras

Mutsumi Saito
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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.

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BibTeXRIS

Mutsumi Saito. 2015-08-19. Limits of Jordan Lie subalgebras. https://arxiv.org/abs/1508.04508

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