Classification reveals properties of certain subalgebras in semisimple lie algebras, indicating structural significance.
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 g such that every subalgebra strictly containing h is horospherical, i.e., contains a maximal unipotent subalgebra of g.
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A. V. Smirnov (2007) studied this question.
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