
Journal of Lie Theory 17 (2007), No. 1, 091098 Copyright Heldermann Verlag 2007 Almost Horospherical Subalgebras of Semisimple Lie Algebras Alexander V. Smirnov Scientific Research Computing Center, Moscow State University, 119992 Moscow, Russia asmirnov@rdm.ru [Abstractpdf] \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 $\g$. Keywords: Lie algebras, parabolic induction. MSC: 17B45 [ Fulltextpdf (180 KB)] for subscribers only. 