Journal of Lie Theory

no. 2
Orbits in Real Zm-Graded Semisimple Lie Algebras
Journal of Lie Theory, Volume 21 (2011) no. 2, pp. 285-305
We propose a method to classify homogeneous nilpotent elements in a real Zm-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.
DOI: 10.5802/jolt.633
Classification: 17B70, 15A72, 13A50
Keywords: Real Z-sub-m-graded Lie algebra, nilpotent elements, homogeneous elements 
@article{JOLT_2011_21_2_a2,
     author = {H. V. Le},
     title = {Orbits in {Real} {Z\protect\textsubscript{m}-Graded} {Semisimple} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {285--305},
     year = {2011},
     volume = {21},
     number = {2},
     doi = {10.5802/jolt.633},
     zbl = {1228.17025},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.633/}
}
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H. V. Le. Orbits in Real Zm-Graded Semisimple Lie Algebras. Journal of Lie Theory, Volume 21 (2011) no. 2, pp. 285-305. doi: 10.5802/jolt.633

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