Folding of set-theoretical solutions of the Yang-Baxter equation.

DOI10.1007/s10468-011-9288-0zbMath1264.16038arXiv1009.3342OpenAlexW2073456386MaRDI QIDQ694578

Eddy Godelle, Fabienne Chouraqui

Publication date: 13 December 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3342

zbMATH Keywords

quantum Yang-Baxter equationfoldingsparabolic subgroups of Garside groupsset-theoretical solutions

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Yang-Baxter equations (16T25)

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A note on Garside monoids and \({\mathcal{M}} \)-braces ⋮ On some Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation ⋮ The Yang–Baxter equation and Thompson’s group F ⋮ Dehornoy’s class and Sylows for set-theoretical solutions of the Yang–Baxter equation ⋮ Finite quotients of groups of I-type. ⋮ Indecomposable involutive set-theoretic solutions of the Yang-Baxter equation ⋮ An algorithmic construction of group automorphisms and the quantum Yang-Baxter equation ⋮ The matched product of set-theoretical solutions of the Yang-Baxter equation

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