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arXiv · 1903.00057

On simple Lie 2-algebra of toral rank 3

Carlos Rafael Payares Guevara·Jeovanny de Jesus Muentes Acevedo
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Abstract

Simple Lie algebras of finite dimension over an algebraically closed field of characteristic 0 or $p> 3$ were recently classified. However, the problem over an algebraically closed field of characteristics 2 or 3 there exist only partial results. The first result on the problem of classification of simple Lie algebra of finite dimension over an algebraically closed field of characteristic 2 is that these algebras have absolute toral rank greater than or equal to 2. In this paper we show that there are not simple Lie 2-algebras with toral rank 3 over an algebraically closed field of characteristic 2 and dimension less or equal to 16.

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Carlos Rafael Payares Guevara, Jeovanny de Jesus Muentes Acevedo. 2019-02-28. On simple Lie 2-algebra of toral rank 3. https://arxiv.org/abs/1903.00057

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