The eight tetrahedron equations

DOI10.1063/1.532055zbMath0883.58011arXivq-alg/9706001OpenAlexW3099010369MaRDI QIDQ4352179

Jarmo Hietarinta, Frank W. Nijhoff

Publication date: 28 August 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9706001

zbMATH Keywords

Yang-Baxter equationtetrahedron equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• Higher Bruhat orders connected with the symmetric group
• New solvable lattice models in three dimensions
• Braided monoidal 2-categories and Manin-Schechtman higher braid groups
• Tetrahedral Zamolodchikov algebras corresponding to Baxter's \(L\)- operators
• Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders
• Algebras and triangle relations
• Higher Bruhat orders and cyclic hyperplane arrangements
• Labelling schemes for tetrahedron equations and dualities between them

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