3-Lie algebras, ternary Nambu-Lie algebras and the Yang-Baxter equation

DOI10.1016/j.geomphys.2022.104687OpenAlexW4306180874MaRDI QIDQ2107512

Emanuele Zappala, Viktor Abramov

Publication date: 1 December 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.11472

zbMATH Keywords

self-distributivityYang-Baxter operatorlink invariantframed braid group

Mathematics Subject Classification ID

Braided monoidal categories and ribbon categories (18M15) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (1)

Deformations of Yang-Baxter operators via \(n\)-Lie algebra cohomology

Cites Work

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• The Framed Braid Group and 3-Manifolds
• TOPOLOGICAL QUANTUM FIELD THEORIES ASSOCIATED TO FINITE GROUPS AND CROSSED G-SETS
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Generalized Hamiltonian Dynamics
• Heap and ternary self-distributive cohomology
• Higher arity self-distributive operations in Cascades and their cohomology

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