Limits of Jordan Lie subalgebras release_z5tb2swncnb7fiiecfkshh4avq

by Mutsumi Saito

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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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Type  article
Stage   submitted
Date   2015-08-19
Version   v1
Language   en ?
arXiv  1508.04508v1
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