Year: 2025
Type: article
Abstract: In this paper, we define a notion of Hecke algebras for structure groups of set-theoretical solutions to the Yang–Baxter equation. As a comparison to the Iwahori–Hecke algebras of Artin–Tits groups of spherical type, we show that this construction has the expected classical properties. We also highlight how these constructions, and more generally Dehornoy’s “Coxeter-like” group, slightly differ from the classical Artin–Tits case. Finally, we study a particular case which relates to torus knot groups and complex reflection groups.
Author: Edouard Feingesicht
Institution: Université de Caen Normandie
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415737524
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