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Antilinear deformations of Coxeter groups, an application to Calogero models

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Figure

Figure 1: The action of −w0 on the Dynkin diagrams.The longest element admits a concrete realization in terms of products of Coxetertransformations σ
Figure 2: Anyonic exchange factors for the 3-particle scattering in the A2-model.
Figure 3: Anyonic exchange factors for the 4-particle scattering in the A3-model.
Table 1: Coxeter number h, dual Coxeter number hˆ, exponents sn and ℓth symmetrizer tℓ.

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