Algebras Satisfying Triality and S₄-symmetry

2015/03/02 by Noriaki Kamiya, Kamiya, Noriaki, Susumu Ôkubo +1 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1503.00614

openalex publication_date 2015/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a review of recent works for non-associative algebras, especially Lie algebras satisfying the triality relation. They are also intimately related to S₄ (symmetric group of 4-objects) symmetry of the Lie algebras.

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