Geodesic
Heisenberg Algebras from Division Algebras and Parabolic Subalgebras of Simple Lie Algebras
Journal of Lie theory, Tome 28 (2018) no. 2, pp. 561-575
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Every real simple Lie algebra which is not compact or isomorphic to so(1,n) contains a unique standard parabolic subalgebra whose nilradical is a Heisenberg-like algebra associated to a division algebra. Some geometric consequences are discussed.
Classification : 22E25, 58A30, 17C60
Mots-clés : Heisenberg, parabolic subalgebras, distributions 
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     author = {A. Kaplan and M. Subils},
     title = {Heisenberg {Algebras} from {Division} {Algebras} and {Parabolic} {Subalgebras} of {Simple} {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {561--575},
     year = {2018},
     volume = {28},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2018_28_2_JLT_2018_28_2_a10/}
}
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A. Kaplan; M. Subils. Heisenberg Algebras from Division Algebras and Parabolic Subalgebras of Simple Lie Algebras. Journal of Lie theory, Tome 28 (2018) no. 2, pp. 561-575. http://geodesic.mathdoc.fr/item/JLT_2018_28_2_JLT_2018_28_2_a10/