Triple products and Yang–Baxter equation. I. Octonionic and quaternionic triple systems

DOI10.1063/1.530076zbMath0790.15028arXivhep-th/9212051OpenAlexW2003222579MaRDI QIDQ3136689

Susumu Okubo

Publication date: 21 October 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9212051

zbMATH Keywords

Yang-Baxter equationoctonionic and quaternionic triple systemtriple product equation

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Ternary compositions (17A40) Other algebras built from modules (15A78)

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Cites Work

• Construction of \(3 \times{} 3\)-matrix Lie algebras and some Lie algebras of type \(D_ 4\)
• Triple products and Yang–Baxter equation. II. Orthogonal and symplectic ternary systems
• Simple Groups and Strong Interaction Symmetries