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Abstract
Lie algebras graded by a finite irreducible reduced root system Δ will be generalized to predivision (Δ, G)-graded Lie algebras for an abelian group G. In this paper such algebras are classified, up to central extensions, when Δ = A l for l ≥ 3, D or E, and G = Z n .
ACKNOWLEDGMENTS
The result in § 3 is part of my Ph.D thesis, written at the University of Ottawa. I would like to thank my supervisor, Professor Erhard Neher, for his encouragement and suggestions.