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Journal of Lie Theory 17 (2007), No. 1, 091--098
Copyright Heldermann Verlag 2007

Almost Horospherical Subalgebras of Semisimple Lie Algebras

Alexander V. Smirnov
Scientific Research Computing Center, Moscow State University, 119992 Moscow, Russia


\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

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