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Schlagwörter:
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Zusammenfassung:
We present a nonlinear realization of the 5-graded Lie algebra associated to a Kantor triple system. Any simple Lie algebra can be realized in this way, starting from an arbitrary 5-grading. In particular, we get a unified realization of the exceptional Lie algebras [fraktur f]4,[fraktur e]6,[fraktur e]7,[fraktur e]8, in which they are respectively related to the division algebras [openface R],[openface C],[openface H],[openface O]