Orbits in real Z_m-graded semisimple Lie algebras
classification
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math.DG
keywords
gradedrealsemisimplealgebraelementshomogeneousmethodorbits
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In this note 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 $Z_2$-graded semisimple Lie algebra. A classification of 4-vectors (resp. 4-forms) on $R^8$ can be given using this method.
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