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math-ph2022★ 1 cited
Fusion hierarchies, -systems and -systems for the dilute loop models on a strip
Florence Boileau, Alexi Morin-Duchesne, Yvan Saint-Aubin
We study the dilute loop models on the geometry of a strip of width . Two families of boundary conditions are known to satisfy the boundary Yang-Baxter equation. Fix…
math.RT2022★ 1 cited
Spin chains as modules over the affine Temperley-Lieb algebra
Théo Pinet, Yvan Saint-Aubin
The affine Temperley-Lieb algebra is an infinite-dimensional algebra parametrized by a number and an integer $N\in \mat…