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arXiv · 1903.00060

Classical simple Lie 2-algebras of toral rank 3 and a contragredient Lie 2-algebra of toral rank 4

Carlos Rafael Payares Guevara·Fabián Antonio Arias Amaya
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Abstract

In this paper we show there are no classical type simple Lie 2-algebras with toral rank odd and we also show that the simple contragredient Lie 2-algebra $G(F_{4, a})$ of dimension 34 has toral rank 4, and we give the Cartan decomposition of $G(F_{4, a})$.

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Carlos Rafael Payares Guevara, Fabián Antonio Arias Amaya. 2019-02-28. Classical simple Lie 2-algebras of toral rank 3 and a contragredient Lie 2-algebra of toral rank 4. https://arxiv.org/abs/1903.00060

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