Geodesic
Almost Horospherical Subalgebras of Semisimple Lie Algebras
Alexander V. Smirnov1
1Scientific Research Computing Center, Moscow State University, 119992 Moscow, Russia
Journal of Lie Theory, Tome 17 (2007) no. 1, pp. 91-98

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

\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

Alexander V. Smirnov  1

1 Scientific Research Computing Center, Moscow State University, 119992 Moscow, Russia 
Alexander 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/JOLT_2007_17_1_a5/
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