1Dept. of Mathematics, University of Massachusetts, Amherst, MA01002, U.S.A. 2CONICET-CIEM, Universidad Nacional de Cordoba, Medina Allende, Cordoba 5000, Argentina 3CONICET-FCEIA, Universidad Nacional de Rosario, Pellegrini 250, Rosario 2000, Argentina
Journal of Lie Theory, Tome 28 (2018) no. 2, pp. 561-575
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.
1
Dept. of Mathematics, University of Massachusetts, Amherst, MA01002, U.S.A.
2
CONICET-CIEM, Universidad Nacional de Cordoba, Medina Allende, Cordoba 5000, Argentina
3
CONICET-FCEIA, Universidad Nacional de Rosario, Pellegrini 250, Rosario 2000, Argentina
Aroldo Kaplan; Mauro 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/JOLT_2018_28_2_a10/
@article{JOLT_2018_28_2_a10,
author = {Aroldo Kaplan and Mauro 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/JOLT_2018_28_2_a10/}
}
TY - JOUR
AU - Aroldo Kaplan
AU - Mauro Subils
TI - Heisenberg Algebras from Division Algebras and Parabolic Subalgebras of Simple Lie Algebras
JO - Journal of Lie Theory
PY - 2018
SP - 561
EP - 575
VL - 28
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2018_28_2_a10/
ID - JOLT_2018_28_2_a10
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%U http://geodesic.mathdoc.fr/item/JOLT_2018_28_2_a10/
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