Orbits in Real Z<sub>m</sub>-Graded Semisimple Lie Algebras

H. V. Le

Geodesic

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Orbits in Real Z_m-Graded Semisimple Lie Algebras

H. V. Le

Journal of Lie theory, Tome 21 (2011) no. 2, pp. 285-305.

Voir la notice de l'article provenant de la source Heldermann Verlag

Résumé

We propose a method to classify homogeneous nilpotent elements in a real Z_m-graded semisimple Lie algebra g. Using this we describe the set of orbits of homogeneous elements in a real Z₂-graded semisimple Lie algebra. A classification of 4-vectors (resp. 4-forms) on R⁸ can be given using this method.

Classification : 17B70, 15A72, 13A50
Mots-clés : Real Z-sub-m-graded Lie algebra, nilpotent elements, homogeneous elements

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     author = {H. V. Le },
     title = {Orbits in {Real} {Z\protect\textsubscript{m}-Graded} {Semisimple} {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {285--305},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2011},
     url = {http://geodesic.mathdoc.fr/item/JLT_2011_21_2_JLT_2011_21_2_a2/}
}

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H. V. Le . Orbits in Real Z_m-Graded Semisimple Lie Algebras. Journal of Lie theory, Tome 21 (2011) no. 2, pp. 285-305. http://geodesic.mathdoc.fr/item/JLT_2011_21_2_JLT_2011_21_2_a2/