On tetrahedron type equations associated with B₃,C₃, F₄ and H₃

2022/02/24 by Atsuo Kuniba, Kuniba, Atsuo
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2202.12061

openalex publication_date 2022/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Tetrahedron equation is a three dimensional analogue of the Yang-Baxter equation. It allows a formulation in terms of the Coxeter group A₃. This short note includes miscellaneous remarks on the generalizations along B₃, C₃, F₄ and the non-crystallographic Coxeter group H₃. It is a supplement to the author's talk in the online workshop, Combinatorial Representation Theory and Connections with Related Fields, at RIMS, Kyoto University in November 2021.

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