English

Fusion for the Yang-Baxter equation and the braid group

Representation Theory 2023-07-13 v1 Mathematical Physics Geometric Topology math.MP Quantum Algebra

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.

Keywords

Cite

@article{arxiv.2204.03483,
  title  = {Fusion for the Yang-Baxter equation and the braid group},
  author = {L. Poulain d'Andecy},
  journal= {arXiv preprint arXiv:2204.03483},
  year   = {2023}
}
R2 v1 2026-06-24T10:41:17.558Z