Triple products and Yang–Baxter equation. II. Orthogonal and symplectic ternary systems

DOI10.1063/1.530077zbMath0790.15029arXivhep-th/9212052OpenAlexW3106392359MaRDI QIDQ3136690

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/9212052

zbMATH Keywords

Yang-Baxter equationtriple systemstriple product equationorthogonal and symplectic ternary systems

Mathematics Subject Classification ID

Related Items (14)

QUASI-CLASSICAL LIE SUPERALGEBRAS AND LIE SUPERTRIPLE SYSTEMS ⋮ Representations of special Jordan triple systems of all symmetric and hermitian n by n matrices ⋮ Freudenthal gauge theory ⋮ On Yangian covariance of the triple product system with the rational R-matrix ⋮ Construction and characterization of \(n\)-ary hom-bialgebras and \(n\)-ary infinitesimal hom-bialgebras ⋮ Unnamed Item ⋮ Nambu-Lie 3-algebras on fuzzy 3-manifolds ⋮ Some new solutions of the Yang-Baxter equation ⋮ Comment to “Approximate bihomomorphisms and biderivations in 3-Lie algebras” [Int. J. Geom. Methods Mod. Phys.10(2013) 1220020] ⋮ On super Yangian covariance of the triple product system ⋮ Isotopic pairs and their representations ⋮ k-Leibniz algebras from lower order ones: From Lie triple to Lie ℓ-ple systems ⋮ On the universal envelope of a Jordan triple system of n × n matrices ⋮ Triple products and Yang–Baxter equation. I. Octonionic and quaternionic triple systems

Cites Work

• A construction of Lie-graded algebras by graded generalized Jordan triples of second order
• Innere Lie-Tripelsysteme und J-ternäre Algebren
• Triple products and Yang–Baxter equation. I. Octonionic and quaternionic triple systems
• An ℰ6⊗𝒰(1) invariant quantum mechanics for a Jordan pair
• A Construction of Lie Algebras From J-Ternary Algebras
• Construction of Lie algebras and Lie superalgebras from ternary algebras
• Generalized Hamiltonian Dynamics

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