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

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…