Geodesic
Almost Horospherical Subalgebras of Semisimple Lie Algebras
Journal of Lie theory, Tome 17 (2007) no. 1, pp. 91-98.

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\def\g{{\frak g}}\def\h{{\frak h}} It is well known that the maximal subalgebras of a semisimple Lie algebra $\g$ are certain semisimple subalgebras and the maximal parabolic subalgebras. This paper provides a classification of subalgebras $\h\subset\g$ such that every subalgebra strictly containing $\h$ is horospherical, i.e., contains a maximal unipotent subalgebra of $\g$.
Classification : 17B45
Mots-clés : Lie algebras, parabolic induction 
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     title = {Almost {Horospherical} {Subalgebras} of {Semisimple} {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {91--98},
     publisher = {mathdoc},
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     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_1_JLT_2007_17_1_a5/}
}
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A. V. Smirnov . Almost Horospherical Subalgebras of Semisimple Lie Algebras. Journal of Lie theory, Tome 17 (2007) no. 1, pp. 91-98. http://geodesic.mathdoc.fr/item/JLT_2007_17_1_JLT_2007_17_1_a5/