Abstract.
We construct the complex simple Lie algebras using elementary algebraic geometry. We use our construction to obtain a new proof of the classification of complex simple Lie algebras that does not appeal to the classification of root systems.
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Landsberg, J., Manivel, L. Construction and classification of complex simple Lie algebras via projective geometry . Sel. math., New ser. 8, 137 (2002). https://doi.org/10.1007/s00029-002-8103-5
DOI: https://doi.org/10.1007/s00029-002-8103-5