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Schlagwörter:
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Zusammenfassung:
We define the twisted loop Lie algebra of a finite dimensional Lie algebra g as the Fréchet space of all twisted periodic smooth mappings from R to g. Here the Lie algebra operation is continuous. We call such Lie algebras Fréchet Lie algebras. We introduce the notion of an integrable Z-gradation of a Fréchet Lie algebra, and find all inequivalent integrable Z-gradations with finite dimensional grading subspaces of twisted loop Lie algebras of complex simple Lie algebras.
