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arXiv · 0711.2899

Simple Lie algebras of small characteristic VI. Completion of the classification

Alexander Premet·Helmut Strade
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Abstract

Let L be a finite-dimensional simple Lie algebra over an algebraically closed field of F characteristic p>3. We prove that if the p-envelope of L in the derivation algebra of L contains nonstandard tori of maximal dimension, then p=5 and L is isomorphic to one of the Melikian algebras. Together with our earlier results this implies that any finite-dimensional simple Lie algebra over F is of classical, Cartan or Melikian type.

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Alexander Premet, Helmut Strade. 2008-08-11. Simple Lie algebras of small characteristic VI. Completion of the classification. https://arxiv.org/abs/0711.2899

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