Fusion for the Yang-Baxter equation and the braid group

DOI10.5802/WBLN.35arXiv2204.03483MaRDI QIDQ6395957

Publication date: 7 April 2022

Abstract: These are the extended notes of a mini-course given at the school WinterBraids X. We discuss algebras simultaneously related to: the braid group, the Yang-Baxter equation and the representation theory of quantum groups. The main goal is to explain the idea of the fusion procedure for the Yang-Baxter equation and to show how it leads to new examples of such algebras: the fused Hecke algebras.

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Yang-Baxter equations (16T25) Yang-Baxter equations and Rota-Baxter operators (17B38)

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