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This https://arxiv.org/abs/2212.10781 has been replaced.
link: https://scholar.google.com/scholar?q=a

On $J$-folded alcove paths and combinatorial representations of affine Hecke algebras
We introduce the combinatorial model of $J$-folded alcove paths in an affine Weyl group and construct representations of affine Hecke algebras using this model. We study boundedness of these representations, and we state conjectures linking our combinatorial formulae to Kazhdan-Lusztig theory and Opdam's Plancherel Theorem.

At the Tech, in San Jose, a special alcove commemorates the father of the missing hyperlink.