English

On tetrahedron type equations associated with $B_3,C_3, F_4$ and $H_3$

Mathematical Physics 2022-02-25 v1 math.MP Exactly Solvable and Integrable Systems

Abstract

Tetrahedron equation is a three dimensional analogue of the Yang-Baxter equation. It allows a formulation in terms of the Coxeter group A3A_3. This short note includes miscellaneous remarks on the generalizations along B3,C3,F4B_3, C_3, F_4 and the non-crystallographic Coxeter group H3H_3. 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.

Keywords

Cite

@article{arxiv.2202.12061,
  title  = {On tetrahedron type equations associated with $B_3,C_3, F_4$ and $H_3$},
  author = {Atsuo Kuniba},
  journal= {arXiv preprint arXiv:2202.12061},
  year   = {2022}
}

Comments

For RIMS Kokyuroku. 10 pages, 5 figures