Geodesic
Limits of Jordan Lie Subalgebras
Journal of Lie theory, Tome 27 (2017) no. 1, pp. 51-84
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Let g be a simple Lie algebra of rank n over the complex numbers 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.
Classification : 17B20
Mots-clés : Cartan subalgebra, Jordan Lie subalgebra 
@article{JLT_2017_27_1_JLT_2017_27_1_a2,
     author = {M. Saito},
     title = {Limits of {Jordan} {Lie} {Subalgebras}},
     journal = {Journal of Lie theory},
     pages = {51--84},
     year = {2017},
     volume = {27},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2017_27_1_JLT_2017_27_1_a2/}
}
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M. Saito. Limits of Jordan Lie Subalgebras. Journal of Lie theory, Tome 27 (2017) no. 1, pp. 51-84. http://geodesic.mathdoc.fr/item/JLT_2017_27_1_JLT_2017_27_1_a2/