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

2019/02/28 by Carlos Rafael Payares Guevara, Guevara, Carlos Rafael Payares, F. A. Arias Amaya +1
Mathematics · #17B05 #17B20 #17B50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1903.00060

openalex publication_date 2019/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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