Geodesic
Limits of Jordan Lie Subalgebras
Mutsumi Saito1
1Dept. of Mathematics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan
Journal of Lie Theory, Tome 27 (2017) no. 1, pp. 51-84

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Mutsumi Saito  1

1 Dept. of Mathematics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan 
Mutsumi Saito. Limits of Jordan Lie Subalgebras. Journal of Lie Theory, Tome 27 (2017) no. 1, pp. 51-84. http://geodesic.mathdoc.fr/item/JOLT_2017_27_1_a2/
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     title = {Limits of {Jordan} {Lie} {Subalgebras}},
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     year = {2017},
     volume = {27},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_1_a2/}
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