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arXiv:2212.10781 [math.RT]AbstractReferencesReviewsResources

On $J$-folded alcove paths and combinatorial representations of affine Hecke algebras

Jérémie Guilhot, Eloise Little, James Parkinson

Published 2022-12-21Version 1

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.

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Categories: math.RT
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