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Fusion for the Yang-Baxter equation and the braid group

Published 7 Apr 2022 in math.RT, math-ph, math.GT, math.MP, and math.QA | (2204.03483v1)

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.

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