Classification of complex simple Lie algebras via projective geometry geometry
代数几何
2016-09-07 v2 微分几何
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摘要
We present a new proof of the classification of complex simple Lie algebras via the projective geometry of homogeneous varieties. Our proof proceeds by constructing homogeneous varieties using the ideals of the secant and tangential varieties of homogeneous varieties already constructed. Our algorithms make no reference to root systems. Our proofs use properties of root systems, but not their classification.
引用
@article{arxiv.math/9902102,
title = {Classification of complex simple Lie algebras via projective geometry geometry},
author = {J. M. Landsberg and Laurent Manivel},
journal= {arXiv preprint arXiv:math/9902102},
year = {2016}
}
备注
slightly revised, to appear in Selecta Mathematica