Journal of Lie Theory

no. 1
Almost Horospherical Subalgebras of Semisimple Lie Algebras
Journal of Lie Theory, Volume 17 (2007) no. 1, pp. 91-98
\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 $\g$.
DOI: 10.5802/jolt.438
Classification: 17B45
Keywords: Lie algebras, parabolic induction 
@article{JOLT_2007_17_1_a5,
     author = {A. V. Smirnov},
     title = {Almost {Horospherical} {Subalgebras} of {Semisimple} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {91--98},
     year = {2007},
     volume = {17},
     number = {1},
     doi = {10.5802/jolt.438},
     zbl = {1125.17005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.438/}
}
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A. V. Smirnov. Almost Horospherical Subalgebras of Semisimple Lie Algebras. Journal of Lie Theory, Volume 17 (2007) no. 1, pp. 91-98. doi: 10.5802/jolt.438

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